x+10=8x-7

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


Simplifying
x + 10 = 8x + -7

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

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

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

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

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

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

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

Combine like terms: -7 + -10 = -17
-7x = -17

Divide each side by '-7'.
x = 2.428571429

Simplifying
x = 2.428571429

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