x-20=4(x-100)

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Solution for x-20=4(x-100) equation:


Simplifying
x + -20 = 4(x + -100)

Reorder the terms:
-20 + x = 4(x + -100)

Reorder the terms:
-20 + x = 4(-100 + x)
-20 + x = (-100 * 4 + x * 4)
-20 + x = (-400 + 4x)

Solving
-20 + x = -400 + 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.
-20 + x + -4x = -400 + 4x + -4x

Combine like terms: x + -4x = -3x
-20 + -3x = -400 + 4x + -4x

Combine like terms: 4x + -4x = 0
-20 + -3x = -400 + 0
-20 + -3x = -400

Add '20' to each side of the equation.
-20 + 20 + -3x = -400 + 20

Combine like terms: -20 + 20 = 0
0 + -3x = -400 + 20
-3x = -400 + 20

Combine like terms: -400 + 20 = -380
-3x = -380

Divide each side by '-3'.
x = 126.6666667

Simplifying
x = 126.6666667

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