4x+5(40-x)=160

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Solution for 4x+5(40-x)=160 equation:


Simplifying
4x + 5(40 + -1x) = 160
4x + (40 * 5 + -1x * 5) = 160
4x + (200 + -5x) = 160

Reorder the terms:
200 + 4x + -5x = 160

Combine like terms: 4x + -5x = -1x
200 + -1x = 160

Solving
200 + -1x = 160

Solving for variable 'x'.

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

Add '-200' to each side of the equation.
200 + -200 + -1x = 160 + -200

Combine like terms: 200 + -200 = 0
0 + -1x = 160 + -200
-1x = 160 + -200

Combine like terms: 160 + -200 = -40
-1x = -40

Divide each side by '-1'.
x = 40

Simplifying
x = 40

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