7x+5=8x-10

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Solution for 7x+5=8x-10 equation:


Simplifying
7x + 5 = 8x + -10

Reorder the terms:
5 + 7x = 8x + -10

Reorder the terms:
5 + 7x = -10 + 8x

Solving
5 + 7x = -10 + 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.
5 + 7x + -8x = -10 + 8x + -8x

Combine like terms: 7x + -8x = -1x
5 + -1x = -10 + 8x + -8x

Combine like terms: 8x + -8x = 0
5 + -1x = -10 + 0
5 + -1x = -10

Add '-5' to each side of the equation.
5 + -5 + -1x = -10 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = -10 + -5
-1x = -10 + -5

Combine like terms: -10 + -5 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

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