9+3(4x-9)=-2(1-x)

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Solution for 9+3(4x-9)=-2(1-x) equation:


Simplifying
9 + 3(4x + -9) = -2(1 + -1x)

Reorder the terms:
9 + 3(-9 + 4x) = -2(1 + -1x)
9 + (-9 * 3 + 4x * 3) = -2(1 + -1x)
9 + (-27 + 12x) = -2(1 + -1x)

Combine like terms: 9 + -27 = -18
-18 + 12x = -2(1 + -1x)
-18 + 12x = (1 * -2 + -1x * -2)
-18 + 12x = (-2 + 2x)

Solving
-18 + 12x = -2 + 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.
-18 + 12x + -2x = -2 + 2x + -2x

Combine like terms: 12x + -2x = 10x
-18 + 10x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-18 + 10x = -2 + 0
-18 + 10x = -2

Add '18' to each side of the equation.
-18 + 18 + 10x = -2 + 18

Combine like terms: -18 + 18 = 0
0 + 10x = -2 + 18
10x = -2 + 18

Combine like terms: -2 + 18 = 16
10x = 16

Divide each side by '10'.
x = 1.6

Simplifying
x = 1.6

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