4(90-x)+2=(180-x)+8

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Solution for 4(90-x)+2=(180-x)+8 equation:


Simplifying
4(90 + -1x) + 2 = (180 + -1x) + 8
(90 * 4 + -1x * 4) + 2 = (180 + -1x) + 8
(360 + -4x) + 2 = (180 + -1x) + 8

Reorder the terms:
360 + 2 + -4x = (180 + -1x) + 8

Combine like terms: 360 + 2 = 362
362 + -4x = (180 + -1x) + 8

Remove parenthesis around (180 + -1x)
362 + -4x = 180 + -1x + 8

Reorder the terms:
362 + -4x = 180 + 8 + -1x

Combine like terms: 180 + 8 = 188
362 + -4x = 188 + -1x

Solving
362 + -4x = 188 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
362 + -4x + x = 188 + -1x + x

Combine like terms: -4x + x = -3x
362 + -3x = 188 + -1x + x

Combine like terms: -1x + x = 0
362 + -3x = 188 + 0
362 + -3x = 188

Add '-362' to each side of the equation.
362 + -362 + -3x = 188 + -362

Combine like terms: 362 + -362 = 0
0 + -3x = 188 + -362
-3x = 188 + -362

Combine like terms: 188 + -362 = -174
-3x = -174

Divide each side by '-3'.
x = 58

Simplifying
x = 58

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