-4x+61=9x-212

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Solution for -4x+61=9x-212 equation:


Simplifying
-4x + 61 = 9x + -212

Reorder the terms:
61 + -4x = 9x + -212

Reorder the terms:
61 + -4x = -212 + 9x

Solving
61 + -4x = -212 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
61 + -4x + -9x = -212 + 9x + -9x

Combine like terms: -4x + -9x = -13x
61 + -13x = -212 + 9x + -9x

Combine like terms: 9x + -9x = 0
61 + -13x = -212 + 0
61 + -13x = -212

Add '-61' to each side of the equation.
61 + -61 + -13x = -212 + -61

Combine like terms: 61 + -61 = 0
0 + -13x = -212 + -61
-13x = -212 + -61

Combine like terms: -212 + -61 = -273
-13x = -273

Divide each side by '-13'.
x = 21

Simplifying
x = 21

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