4x-5=12x-61

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Solution for 4x-5=12x-61 equation:


Simplifying
4x + -5 = 12x + -61

Reorder the terms:
-5 + 4x = 12x + -61

Reorder the terms:
-5 + 4x = -61 + 12x

Solving
-5 + 4x = -61 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-5 + 4x + -12x = -61 + 12x + -12x

Combine like terms: 4x + -12x = -8x
-5 + -8x = -61 + 12x + -12x

Combine like terms: 12x + -12x = 0
-5 + -8x = -61 + 0
-5 + -8x = -61

Add '5' to each side of the equation.
-5 + 5 + -8x = -61 + 5

Combine like terms: -5 + 5 = 0
0 + -8x = -61 + 5
-8x = -61 + 5

Combine like terms: -61 + 5 = -56
-8x = -56

Divide each side by '-8'.
x = 7

Simplifying
x = 7

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