4(x+5)-5x=-3(x-10)+x

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Solution for 4(x+5)-5x=-3(x-10)+x equation: 


Simplifying
4(x + 5) + -5x = -3(x + -10) + x

Reorder the terms:
4(5 + x) + -5x = -3(x + -10) + x
(5 * 4 + x * 4) + -5x = -3(x + -10) + x
(20 + 4x) + -5x = -3(x + -10) + x

Combine like terms: 4x + -5x = -1x
20 + -1x = -3(x + -10) + x

Reorder the terms:
20 + -1x = -3(-10 + x) + x
20 + -1x = (-10 * -3 + x * -3) + x
20 + -1x = (30 + -3x) + x

Combine like terms: -3x + x = -2x
20 + -1x = 30 + -2x

Solving
20 + -1x = 30 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
20 + -1x + 2x = 30 + -2x + 2x

Combine like terms: -1x + 2x = 1x
20 + 1x = 30 + -2x + 2x

Combine like terms: -2x + 2x = 0
20 + 1x = 30 + 0
20 + 1x = 30

Add '-20' to each side of the equation.
20 + -20 + 1x = 30 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = 30 + -20
1x = 30 + -20

Combine like terms: 30 + -20 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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