4(5-2x)=-3(x-5)+10

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Solution for 4(5-2x)=-3(x-5)+10 equation: 


Simplifying
4(5 + -2x) = -3(x + -5) + 10
(5 * 4 + -2x * 4) = -3(x + -5) + 10
(20 + -8x) = -3(x + -5) + 10

Reorder the terms:
20 + -8x = -3(-5 + x) + 10
20 + -8x = (-5 * -3 + x * -3) + 10
20 + -8x = (15 + -3x) + 10

Reorder the terms:
20 + -8x = 15 + 10 + -3x

Combine like terms: 15 + 10 = 25
20 + -8x = 25 + -3x

Solving
20 + -8x = 25 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
20 + -8x + 3x = 25 + -3x + 3x

Combine like terms: -8x + 3x = -5x
20 + -5x = 25 + -3x + 3x

Combine like terms: -3x + 3x = 0
20 + -5x = 25 + 0
20 + -5x = 25

Add '-20' to each side of the equation.
20 + -20 + -5x = 25 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = 25 + -20
-5x = 25 + -20

Combine like terms: 25 + -20 = 5
-5x = 5

Divide each side by '-5'.
x = -1

Simplifying
x = -1

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