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

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


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

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

Reorder the terms:
-4 + 5 + 8x = 3 + -5(4 + -2x)

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

Combine like terms: 3 + -20 = -17
1 + 8x = -17 + 10x

Solving
1 + 8x = -17 + 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.
1 + 8x + -10x = -17 + 10x + -10x

Combine like terms: 8x + -10x = -2x
1 + -2x = -17 + 10x + -10x

Combine like terms: 10x + -10x = 0
1 + -2x = -17 + 0
1 + -2x = -17

Add '-1' to each side of the equation.
1 + -1 + -2x = -17 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = -17 + -1
-2x = -17 + -1

Combine like terms: -17 + -1 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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