3(x-40)=400-x

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Solution for 3(x-40)=400-x equation:


Simplifying
3(x + -40) = 400 + -1x

Reorder the terms:
3(-40 + x) = 400 + -1x
(-40 * 3 + x * 3) = 400 + -1x
(-120 + 3x) = 400 + -1x

Solving
-120 + 3x = 400 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-120 + 3x + x = 400 + -1x + x

Combine like terms: 3x + x = 4x
-120 + 4x = 400 + -1x + x

Combine like terms: -1x + x = 0
-120 + 4x = 400 + 0
-120 + 4x = 400

Add '120' to each side of the equation.
-120 + 120 + 4x = 400 + 120

Combine like terms: -120 + 120 = 0
0 + 4x = 400 + 120
4x = 400 + 120

Combine like terms: 400 + 120 = 520
4x = 520

Divide each side by '4'.
x = 130

Simplifying
x = 130

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