-7x+10=4x-78

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Solution for -7x+10=4x-78 equation:


Simplifying
-7x + 10 = 4x + -78

Reorder the terms:
10 + -7x = 4x + -78

Reorder the terms:
10 + -7x = -78 + 4x

Solving
10 + -7x = -78 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + -7x + -4x = -78 + 4x + -4x

Combine like terms: -7x + -4x = -11x
10 + -11x = -78 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -11x = -78 + 0
10 + -11x = -78

Add '-10' to each side of the equation.
10 + -10 + -11x = -78 + -10

Combine like terms: 10 + -10 = 0
0 + -11x = -78 + -10
-11x = -78 + -10

Combine like terms: -78 + -10 = -88
-11x = -88

Divide each side by '-11'.
x = 8

Simplifying
x = 8

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