4x+23=11x-61

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Solution for 4x+23=11x-61 equation:


Simplifying
4x + 23 = 11x + -61

Reorder the terms:
23 + 4x = 11x + -61

Reorder the terms:
23 + 4x = -61 + 11x

Solving
23 + 4x = -61 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
23 + 4x + -11x = -61 + 11x + -11x

Combine like terms: 4x + -11x = -7x
23 + -7x = -61 + 11x + -11x

Combine like terms: 11x + -11x = 0
23 + -7x = -61 + 0
23 + -7x = -61

Add '-23' to each side of the equation.
23 + -23 + -7x = -61 + -23

Combine like terms: 23 + -23 = 0
0 + -7x = -61 + -23
-7x = -61 + -23

Combine like terms: -61 + -23 = -84
-7x = -84

Divide each side by '-7'.
x = 12

Simplifying
x = 12

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