7x+91=3x-57

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Solution for 7x+91=3x-57 equation:


Simplifying
7x + 91 = 3x + -57

Reorder the terms:
91 + 7x = 3x + -57

Reorder the terms:
91 + 7x = -57 + 3x

Solving
91 + 7x = -57 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
91 + 7x + -3x = -57 + 3x + -3x

Combine like terms: 7x + -3x = 4x
91 + 4x = -57 + 3x + -3x

Combine like terms: 3x + -3x = 0
91 + 4x = -57 + 0
91 + 4x = -57

Add '-91' to each side of the equation.
91 + -91 + 4x = -57 + -91

Combine like terms: 91 + -91 = 0
0 + 4x = -57 + -91
4x = -57 + -91

Combine like terms: -57 + -91 = -148
4x = -148

Divide each side by '4'.
x = -37

Simplifying
x = -37

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