3(x+4)-2(x-1)=5(x-6)

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Solution for 3(x+4)-2(x-1)=5(x-6) equation:


Simplifying
3(x + 4) + -2(x + -1) = 5(x + -6)

Reorder the terms:
3(4 + x) + -2(x + -1) = 5(x + -6)
(4 * 3 + x * 3) + -2(x + -1) = 5(x + -6)
(12 + 3x) + -2(x + -1) = 5(x + -6)

Reorder the terms:
12 + 3x + -2(-1 + x) = 5(x + -6)
12 + 3x + (-1 * -2 + x * -2) = 5(x + -6)
12 + 3x + (2 + -2x) = 5(x + -6)

Reorder the terms:
12 + 2 + 3x + -2x = 5(x + -6)

Combine like terms: 12 + 2 = 14
14 + 3x + -2x = 5(x + -6)

Combine like terms: 3x + -2x = 1x
14 + 1x = 5(x + -6)

Reorder the terms:
14 + 1x = 5(-6 + x)
14 + 1x = (-6 * 5 + x * 5)
14 + 1x = (-30 + 5x)

Solving
14 + 1x = -30 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
14 + 1x + -5x = -30 + 5x + -5x

Combine like terms: 1x + -5x = -4x
14 + -4x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -4x = -30 + 0
14 + -4x = -30

Add '-14' to each side of the equation.
14 + -14 + -4x = -30 + -14

Combine like terms: 14 + -14 = 0
0 + -4x = -30 + -14
-4x = -30 + -14

Combine like terms: -30 + -14 = -44
-4x = -44

Divide each side by '-4'.
x = 11

Simplifying
x = 11

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