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

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


Simplifying
4(5 + -2x) = 3x + -3(5 + -1x)
(5 * 4 + -2x * 4) = 3x + -3(5 + -1x)
(20 + -8x) = 3x + -3(5 + -1x)
20 + -8x = 3x + (5 * -3 + -1x * -3)
20 + -8x = 3x + (-15 + 3x)

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

Combine like terms: 3x + 3x = 6x
20 + -8x = -15 + 6x

Solving
20 + -8x = -15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
20 + -8x + -6x = -15 + 6x + -6x

Combine like terms: -8x + -6x = -14x
20 + -14x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -14x = -15 + 0
20 + -14x = -15

Add '-20' to each side of the equation.
20 + -20 + -14x = -15 + -20

Combine like terms: 20 + -20 = 0
0 + -14x = -15 + -20
-14x = -15 + -20

Combine like terms: -15 + -20 = -35
-14x = -35

Divide each side by '-14'.
x = 2.5

Simplifying
x = 2.5

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