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

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


Simplifying
5x + -3(2 + -1x) = 5(x + -4) + 2
5x + (2 * -3 + -1x * -3) = 5(x + -4) + 2
5x + (-6 + 3x) = 5(x + -4) + 2

Reorder the terms:
-6 + 5x + 3x = 5(x + -4) + 2

Combine like terms: 5x + 3x = 8x
-6 + 8x = 5(x + -4) + 2

Reorder the terms:
-6 + 8x = 5(-4 + x) + 2
-6 + 8x = (-4 * 5 + x * 5) + 2
-6 + 8x = (-20 + 5x) + 2

Reorder the terms:
-6 + 8x = -20 + 2 + 5x

Combine like terms: -20 + 2 = -18
-6 + 8x = -18 + 5x

Solving
-6 + 8x = -18 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + 8x + -5x = -18 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-6 + 3x = -18 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + 3x = -18 + 0
-6 + 3x = -18

Add '6' to each side of the equation.
-6 + 6 + 3x = -18 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = -18 + 6
3x = -18 + 6

Combine like terms: -18 + 6 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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