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

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Solution for 3x+2(x-4)=5+4(1-2x) equation:


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

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

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

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

Combine like terms: 5 + 4 = 9
-8 + 5x = 9 + -8x

Solving
-8 + 5x = 9 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-8 + 5x + 8x = 9 + -8x + 8x

Combine like terms: 5x + 8x = 13x
-8 + 13x = 9 + -8x + 8x

Combine like terms: -8x + 8x = 0
-8 + 13x = 9 + 0
-8 + 13x = 9

Add '8' to each side of the equation.
-8 + 8 + 13x = 9 + 8

Combine like terms: -8 + 8 = 0
0 + 13x = 9 + 8
13x = 9 + 8

Combine like terms: 9 + 8 = 17
13x = 17

Divide each side by '13'.
x = 1.307692308

Simplifying
x = 1.307692308

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