7x-8=10x+1

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Solution for 7x-8=10x+1 equation:


Simplifying
7x + -8 = 10x + 1

Reorder the terms:
-8 + 7x = 10x + 1

Reorder the terms:
-8 + 7x = 1 + 10x

Solving
-8 + 7x = 1 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-8 + 7x + -10x = 1 + 10x + -10x

Combine like terms: 7x + -10x = -3x
-8 + -3x = 1 + 10x + -10x

Combine like terms: 10x + -10x = 0
-8 + -3x = 1 + 0
-8 + -3x = 1

Add '8' to each side of the equation.
-8 + 8 + -3x = 1 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = 1 + 8
-3x = 1 + 8

Combine like terms: 1 + 8 = 9
-3x = 9

Divide each side by '-3'.
x = -3

Simplifying
x = -3

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