-4x+10=7x-100

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Solution for -4x+10=7x-100 equation:


Simplifying
-4x + 10 = 7x + -100

Reorder the terms:
10 + -4x = 7x + -100

Reorder the terms:
10 + -4x = -100 + 7x

Solving
10 + -4x = -100 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
10 + -4x + -7x = -100 + 7x + -7x

Combine like terms: -4x + -7x = -11x
10 + -11x = -100 + 7x + -7x

Combine like terms: 7x + -7x = 0
10 + -11x = -100 + 0
10 + -11x = -100

Add '-10' to each side of the equation.
10 + -10 + -11x = -100 + -10

Combine like terms: 10 + -10 = 0
0 + -11x = -100 + -10
-11x = -100 + -10

Combine like terms: -100 + -10 = -110
-11x = -110

Divide each side by '-11'.
x = 10

Simplifying
x = 10

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