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

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


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

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

Combine like terms: 5x + 2x = 7x
-2 + 7x = -3(x + 6) + -4

Reorder the terms:
-2 + 7x = -3(6 + x) + -4
-2 + 7x = (6 * -3 + x * -3) + -4
-2 + 7x = (-18 + -3x) + -4

Reorder the terms:
-2 + 7x = -18 + -4 + -3x

Combine like terms: -18 + -4 = -22
-2 + 7x = -22 + -3x

Solving
-2 + 7x = -22 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-2 + 7x + 3x = -22 + -3x + 3x

Combine like terms: 7x + 3x = 10x
-2 + 10x = -22 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + 10x = -22 + 0
-2 + 10x = -22

Add '2' to each side of the equation.
-2 + 2 + 10x = -22 + 2

Combine like terms: -2 + 2 = 0
0 + 10x = -22 + 2
10x = -22 + 2

Combine like terms: -22 + 2 = -20
10x = -20

Divide each side by '10'.
x = -2

Simplifying
x = -2

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