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

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


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

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

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

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

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

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

Combine like terms: -3x + -2x = -5x
2 + -5x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + -5x = -12 + 0
2 + -5x = -12

Add '-2' to each side of the equation.
2 + -2 + -5x = -12 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = -12 + -2
-5x = -12 + -2

Combine like terms: -12 + -2 = -14
-5x = -14

Divide each side by '-5'.
x = 2.8

Simplifying
x = 2.8

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