# Solve for x 3(4x-5)+2=4x-11 3(4x-5)+2=4x-11
Simplify 3(4x-5)+2.
Simplify each term.
Apply the distributive property.
3(4x)+3⋅-5+2=4x-11
Multiply 4 by 3.
12x+3⋅-5+2=4x-11
Multiply 3 by -5.
12x-15+2=4x-11
12x-15+2=4x-11
Add -15 and 2.
12x-13=4x-11
12x-13=4x-11
Move all terms containing x to the left side of the equation.
Subtract 4x from both sides of the equation.
12x-13-4x=-11
Subtract 4x from 12x.
8x-13=-11
8x-13=-11
Move all terms not containing x to the right side of the equation.
Add 13 to both sides of the equation.
8x=-11+13
Add -11 and 13.
8x=2
8x=2
Divide each term by 8 and simplify.
Divide each term in 8x=2 by 8.
8×8=28
Cancel the common factor of 8.
Cancel the common factor.
8×8=28
Divide x by 1.
x=28
x=28
Cancel the common factor of 2 and 8.
Factor 2 out of 2.
x=2(1)8
Cancel the common factors.
Factor 2 out of 8.
x=2⋅12⋅4
Cancel the common factor.
x=2⋅12⋅4
Rewrite the expression.
x=14
x=14
x=14
x=14
The result can be shown in multiple forms.
Exact Form:
x=14
Decimal Form:
x=0.25
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