20(x-1)=5(4-x)+15x

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Solution for 20(x-1)=5(4-x)+15x equation:


Simplifying
20(x + -1) = 5(4 + -1x) + 15x

Reorder the terms:
20(-1 + x) = 5(4 + -1x) + 15x
(-1 * 20 + x * 20) = 5(4 + -1x) + 15x
(-20 + 20x) = 5(4 + -1x) + 15x
-20 + 20x = (4 * 5 + -1x * 5) + 15x
-20 + 20x = (20 + -5x) + 15x

Combine like terms: -5x + 15x = 10x
-20 + 20x = 20 + 10x

Solving
-20 + 20x = 20 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-20 + 20x + -10x = 20 + 10x + -10x

Combine like terms: 20x + -10x = 10x
-20 + 10x = 20 + 10x + -10x

Combine like terms: 10x + -10x = 0
-20 + 10x = 20 + 0
-20 + 10x = 20

Add '20' to each side of the equation.
-20 + 20 + 10x = 20 + 20

Combine like terms: -20 + 20 = 0
0 + 10x = 20 + 20
10x = 20 + 20

Combine like terms: 20 + 20 = 40
10x = 40

Divide each side by '10'.
x = 4

Simplifying
x = 4

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