2x-7=-8x+13

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Solution for 2x-7=-8x+13 equation:


Simplifying
2x + -7 = -8x + 13

Reorder the terms:
-7 + 2x = -8x + 13

Reorder the terms:
-7 + 2x = 13 + -8x

Solving
-7 + 2x = 13 + -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 + 2x + 8x = 13 + -8x + 8x

Combine like terms: 2x + 8x = 10x
-7 + 10x = 13 + -8x + 8x

Combine like terms: -8x + 8x = 0
-7 + 10x = 13 + 0
-7 + 10x = 13

Add '7' to each side of the equation.
-7 + 7 + 10x = 13 + 7

Combine like terms: -7 + 7 = 0
0 + 10x = 13 + 7
10x = 13 + 7

Combine like terms: 13 + 7 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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