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

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


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

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

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

Combine like terms: 6 + 4 = 10
10 + 3x = -5(x + -1) + -2

Reorder the terms:
10 + 3x = -5(-1 + x) + -2
10 + 3x = (-1 * -5 + x * -5) + -2
10 + 3x = (5 + -5x) + -2

Reorder the terms:
10 + 3x = 5 + -2 + -5x

Combine like terms: 5 + -2 = 3
10 + 3x = 3 + -5x

Solving
10 + 3x = 3 + -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.
10 + 3x + 5x = 3 + -5x + 5x

Combine like terms: 3x + 5x = 8x
10 + 8x = 3 + -5x + 5x

Combine like terms: -5x + 5x = 0
10 + 8x = 3 + 0
10 + 8x = 3

Add '-10' to each side of the equation.
10 + -10 + 8x = 3 + -10

Combine like terms: 10 + -10 = 0
0 + 8x = 3 + -10
8x = 3 + -10

Combine like terms: 3 + -10 = -7
8x = -7

Divide each side by '8'.
x = -0.875

Simplifying
x = -0.875

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