4x-120=100-7x

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Solution for 4x-120=100-7x equation:


Simplifying
4x + -120 = 100 + -7x

Reorder the terms:
-120 + 4x = 100 + -7x

Solving
-120 + 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.
-120 + 4x + 7x = 100 + -7x + 7x

Combine like terms: 4x + 7x = 11x
-120 + 11x = 100 + -7x + 7x

Combine like terms: -7x + 7x = 0
-120 + 11x = 100 + 0
-120 + 11x = 100

Add '120' to each side of the equation.
-120 + 120 + 11x = 100 + 120

Combine like terms: -120 + 120 = 0
0 + 11x = 100 + 120
11x = 100 + 120

Combine like terms: 100 + 120 = 220
11x = 220

Divide each side by '11'.
x = 20

Simplifying
x = 20

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