7(x-4)-11=30x-131

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Solution for 7(x-4)-11=30x-131 equation:


Simplifying
7(x + -4) + -11 = 30x + -131

Reorder the terms:
7(-4 + x) + -11 = 30x + -131
(-4 * 7 + x * 7) + -11 = 30x + -131
(-28 + 7x) + -11 = 30x + -131

Reorder the terms:
-28 + -11 + 7x = 30x + -131

Combine like terms: -28 + -11 = -39
-39 + 7x = 30x + -131

Reorder the terms:
-39 + 7x = -131 + 30x

Solving
-39 + 7x = -131 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-39 + 7x + -30x = -131 + 30x + -30x

Combine like terms: 7x + -30x = -23x
-39 + -23x = -131 + 30x + -30x

Combine like terms: 30x + -30x = 0
-39 + -23x = -131 + 0
-39 + -23x = -131

Add '39' to each side of the equation.
-39 + 39 + -23x = -131 + 39

Combine like terms: -39 + 39 = 0
0 + -23x = -131 + 39
-23x = -131 + 39

Combine like terms: -131 + 39 = -92
-23x = -92

Divide each side by '-23'.
x = 4

Simplifying
x = 4

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