5-2(3x-2)=-8x-7

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Solution for 5-2(3x-2)=-8x-7 equation:


Simplifying
5 + -2(3x + -2) = -8x + -7

Reorder the terms:
5 + -2(-2 + 3x) = -8x + -7
5 + (-2 * -2 + 3x * -2) = -8x + -7
5 + (4 + -6x) = -8x + -7

Combine like terms: 5 + 4 = 9
9 + -6x = -8x + -7

Reorder the terms:
9 + -6x = -7 + -8x

Solving
9 + -6x = -7 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
9 + -6x + 8x = -7 + -8x + 8x

Combine like terms: -6x + 8x = 2x
9 + 2x = -7 + -8x + 8x

Combine like terms: -8x + 8x = 0
9 + 2x = -7 + 0
9 + 2x = -7

Add '-9' to each side of the equation.
9 + -9 + 2x = -7 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = -7 + -9
2x = -7 + -9

Combine like terms: -7 + -9 = -16
2x = -16

Divide each side by '2'.
x = -8

Simplifying
x = -8

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