90=-(x-3)+4(x-6)

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Solution for 90=-(x-3)+4(x-6) equation:


Simplifying
90 = -1(x + -3) + 4(x + -6)

Reorder the terms:
90 = -1(-3 + x) + 4(x + -6)
90 = (-3 * -1 + x * -1) + 4(x + -6)
90 = (3 + -1x) + 4(x + -6)

Reorder the terms:
90 = 3 + -1x + 4(-6 + x)
90 = 3 + -1x + (-6 * 4 + x * 4)
90 = 3 + -1x + (-24 + 4x)

Reorder the terms:
90 = 3 + -24 + -1x + 4x

Combine like terms: 3 + -24 = -21
90 = -21 + -1x + 4x

Combine like terms: -1x + 4x = 3x
90 = -21 + 3x

Solving
90 = -21 + 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.
90 + -3x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
90 + -3x = -21 + 0
90 + -3x = -21

Add '-90' to each side of the equation.
90 + -90 + -3x = -21 + -90

Combine like terms: 90 + -90 = 0
0 + -3x = -21 + -90
-3x = -21 + -90

Combine like terms: -21 + -90 = -111
-3x = -111

Divide each side by '-3'.
x = 37

Simplifying
x = 37

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