5x-7=-8x-2

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Solution for 5x-7=-8x-2 equation:


Simplifying
5x + -7 = -8x + -2

Reorder the terms:
-7 + 5x = -8x + -2

Reorder the terms:
-7 + 5x = -2 + -8x

Solving
-7 + 5x = -2 + -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.
-7 + 5x + 8x = -2 + -8x + 8x

Combine like terms: 5x + 8x = 13x
-7 + 13x = -2 + -8x + 8x

Combine like terms: -8x + 8x = 0
-7 + 13x = -2 + 0
-7 + 13x = -2

Add '7' to each side of the equation.
-7 + 7 + 13x = -2 + 7

Combine like terms: -7 + 7 = 0
0 + 13x = -2 + 7
13x = -2 + 7

Combine like terms: -2 + 7 = 5
13x = 5

Divide each side by '13'.
x = 0.3846153846

Simplifying
x = 0.3846153846

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