3(x+1)+9=2(x-6)+4

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Solution for 3(x+1)+9=2(x-6)+4 equation:


Simplifying
3(x + 1) + 9 = 2(x + -6) + 4

Reorder the terms:
3(1 + x) + 9 = 2(x + -6) + 4
(1 * 3 + x * 3) + 9 = 2(x + -6) + 4
(3 + 3x) + 9 = 2(x + -6) + 4

Reorder the terms:
3 + 9 + 3x = 2(x + -6) + 4

Combine like terms: 3 + 9 = 12
12 + 3x = 2(x + -6) + 4

Reorder the terms:
12 + 3x = 2(-6 + x) + 4
12 + 3x = (-6 * 2 + x * 2) + 4
12 + 3x = (-12 + 2x) + 4

Reorder the terms:
12 + 3x = -12 + 4 + 2x

Combine like terms: -12 + 4 = -8
12 + 3x = -8 + 2x

Solving
12 + 3x = -8 + 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.
12 + 3x + -2x = -8 + 2x + -2x

Combine like terms: 3x + -2x = 1x
12 + 1x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 1x = -8 + 0
12 + 1x = -8

Add '-12' to each side of the equation.
12 + -12 + 1x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = -8 + -12
1x = -8 + -12

Combine like terms: -8 + -12 = -20
1x = -20

Divide each side by '1'.
x = -20

Simplifying
x = -20

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