7(4x-6)+11=4x-39

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Solution for 7(4x-6)+11=4x-39 equation:


Simplifying
7(4x + -6) + 11 = 4x + -39

Reorder the terms:
7(-6 + 4x) + 11 = 4x + -39
(-6 * 7 + 4x * 7) + 11 = 4x + -39
(-42 + 28x) + 11 = 4x + -39

Reorder the terms:
-42 + 11 + 28x = 4x + -39

Combine like terms: -42 + 11 = -31
-31 + 28x = 4x + -39

Reorder the terms:
-31 + 28x = -39 + 4x

Solving
-31 + 28x = -39 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-31 + 28x + -4x = -39 + 4x + -4x

Combine like terms: 28x + -4x = 24x
-31 + 24x = -39 + 4x + -4x

Combine like terms: 4x + -4x = 0
-31 + 24x = -39 + 0
-31 + 24x = -39

Add '31' to each side of the equation.
-31 + 31 + 24x = -39 + 31

Combine like terms: -31 + 31 = 0
0 + 24x = -39 + 31
24x = -39 + 31

Combine like terms: -39 + 31 = -8
24x = -8

Divide each side by '24'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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