9(-3x+4)-16=3+2(x-6)

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Solution for 9(-3x+4)-16=3+2(x-6) equation:


Simplifying
9(-3x + 4) + -16 = 3 + 2(x + -6)

Reorder the terms:
9(4 + -3x) + -16 = 3 + 2(x + -6)
(4 * 9 + -3x * 9) + -16 = 3 + 2(x + -6)
(36 + -27x) + -16 = 3 + 2(x + -6)

Reorder the terms:
36 + -16 + -27x = 3 + 2(x + -6)

Combine like terms: 36 + -16 = 20
20 + -27x = 3 + 2(x + -6)

Reorder the terms:
20 + -27x = 3 + 2(-6 + x)
20 + -27x = 3 + (-6 * 2 + x * 2)
20 + -27x = 3 + (-12 + 2x)

Combine like terms: 3 + -12 = -9
20 + -27x = -9 + 2x

Solving
20 + -27x = -9 + 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.
20 + -27x + -2x = -9 + 2x + -2x

Combine like terms: -27x + -2x = -29x
20 + -29x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + -29x = -9 + 0
20 + -29x = -9

Add '-20' to each side of the equation.
20 + -20 + -29x = -9 + -20

Combine like terms: 20 + -20 = 0
0 + -29x = -9 + -20
-29x = -9 + -20

Combine like terms: -9 + -20 = -29
-29x = -29

Divide each side by '-29'.
x = 1

Simplifying
x = 1

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