8-5(4-3x)=2(4-x)-8x

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Solution for 8-5(4-3x)=2(4-x)-8x equation:


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

Combine like terms: 8 + -20 = -12
-12 + 15x = 2(4 + -1x) + -8x
-12 + 15x = (4 * 2 + -1x * 2) + -8x
-12 + 15x = (8 + -2x) + -8x

Combine like terms: -2x + -8x = -10x
-12 + 15x = 8 + -10x

Solving
-12 + 15x = 8 + -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.
-12 + 15x + 10x = 8 + -10x + 10x

Combine like terms: 15x + 10x = 25x
-12 + 25x = 8 + -10x + 10x

Combine like terms: -10x + 10x = 0
-12 + 25x = 8 + 0
-12 + 25x = 8

Add '12' to each side of the equation.
-12 + 12 + 25x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 25x = 8 + 12
25x = 8 + 12

Combine like terms: 8 + 12 = 20
25x = 20

Divide each side by '25'.
x = 0.8

Simplifying
x = 0.8

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