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

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


Simplifying
4(5x + -2) = 3 + -1x + 2(10 + -1x)

Reorder the terms:
4(-2 + 5x) = 3 + -1x + 2(10 + -1x)
(-2 * 4 + 5x * 4) = 3 + -1x + 2(10 + -1x)
(-8 + 20x) = 3 + -1x + 2(10 + -1x)
-8 + 20x = 3 + -1x + (10 * 2 + -1x * 2)
-8 + 20x = 3 + -1x + (20 + -2x)

Reorder the terms:
-8 + 20x = 3 + 20 + -1x + -2x

Combine like terms: 3 + 20 = 23
-8 + 20x = 23 + -1x + -2x

Combine like terms: -1x + -2x = -3x
-8 + 20x = 23 + -3x

Solving
-8 + 20x = 23 + -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.
-8 + 20x + 3x = 23 + -3x + 3x

Combine like terms: 20x + 3x = 23x
-8 + 23x = 23 + -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 23x = 23 + 0
-8 + 23x = 23

Add '8' to each side of the equation.
-8 + 8 + 23x = 23 + 8

Combine like terms: -8 + 8 = 0
0 + 23x = 23 + 8
23x = 23 + 8

Combine like terms: 23 + 8 = 31
23x = 31

Divide each side by '23'.
x = 1.347826087

Simplifying
x = 1.347826087

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