6-2x(3-12)=2x+90

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Solution for 6-2x(3-12)=2x+90 equation:


Simplifying
6 + -2x(3 + -12) = 2x + 90

Combine like terms: 3 + -12 = -9
6 + -2x(-9) = 2x + 90

Reorder the terms for easier multiplication:
6 + -2 * -9x = 2x + 90

Multiply -2 * -9
6 + 18x = 2x + 90

Reorder the terms:
6 + 18x = 90 + 2x

Solving
6 + 18x = 90 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 18x + -2x = 90 + 2x + -2x

Combine like terms: 18x + -2x = 16x
6 + 16x = 90 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 16x = 90 + 0
6 + 16x = 90

Add '-6' to each side of the equation.
6 + -6 + 16x = 90 + -6

Combine like terms: 6 + -6 = 0
0 + 16x = 90 + -6
16x = 90 + -6

Combine like terms: 90 + -6 = 84
16x = 84

Divide each side by '16'.
x = 5.25

Simplifying
x = 5.25

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