# Solve for x 3(2x-1)-4(x+2)=5(2x+3)-7(x-2) 3(2x-1)-4(x+2)=5(2x+3)-7(x-2)
Simplify 3(2x-1)-4(x+2).
Simplify each term.
Apply the distributive property.
3(2x)+3⋅-1-4(x+2)=5(2x+3)-7(x-2)
Multiply 2 by 3.
6x+3⋅-1-4(x+2)=5(2x+3)-7(x-2)
Multiply 3 by -1.
6x-3-4(x+2)=5(2x+3)-7(x-2)
Apply the distributive property.
6x-3-4x-4⋅2=5(2x+3)-7(x-2)
Multiply -4 by 2.
6x-3-4x-8=5(2x+3)-7(x-2)
6x-3-4x-8=5(2x+3)-7(x-2)
Simplify by adding terms.
Subtract 4x from 6x.
2x-3-8=5(2x+3)-7(x-2)
Subtract 8 from -3.
2x-11=5(2x+3)-7(x-2)
2x-11=5(2x+3)-7(x-2)
2x-11=5(2x+3)-7(x-2)
Simplify 5(2x+3)-7(x-2).
Simplify each term.
Apply the distributive property.
2x-11=5(2x)+5⋅3-7(x-2)
Multiply 2 by 5.
2x-11=10x+5⋅3-7(x-2)
Multiply 5 by 3.
2x-11=10x+15-7(x-2)
Apply the distributive property.
2x-11=10x+15-7x-7⋅-2
Multiply -7 by -2.
2x-11=10x+15-7x+14
2x-11=10x+15-7x+14
Simplify by adding terms.
Subtract 7x from 10x.
2x-11=3x+15+14
Add 15 and 14.
2x-11=3x+29
2x-11=3x+29
2x-11=3x+29
Move all terms containing x to the left side of the equation.
Subtract 3x from both sides of the equation.
2x-11-3x=29
Subtract 3x from 2x.
-x-11=29
-x-11=29
Move all terms not containing x to the right side of the equation.
Add 11 to both sides of the equation.
-x=29+11
Add 29 and 11.
-x=40
-x=40
Multiply each term in -x=40 by -1
Multiply each term in -x=40 by -1.
(-x)⋅-1=40⋅-1
Multiply (-x)⋅-1.
Multiply -1 by -1.
1x=40⋅-1
Multiply x by 1.
x=40⋅-1
x=40⋅-1
Multiply 40 by -1.
x=-40
x=-40
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