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

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


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

Reorder the terms:
2(-4 + 3x) + x = 1 + 2(4 + x)
(-4 * 2 + 3x * 2) + x = 1 + 2(4 + x)
(-8 + 6x) + x = 1 + 2(4 + x)

Combine like terms: 6x + x = 7x
-8 + 7x = 1 + 2(4 + x)
-8 + 7x = 1 + (4 * 2 + x * 2)
-8 + 7x = 1 + (8 + 2x)

Combine like terms: 1 + 8 = 9
-8 + 7x = 9 + 2x

Solving
-8 + 7x = 9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-8 + 7x + -2x = 9 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-8 + 5x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + 5x = 9 + 0
-8 + 5x = 9

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

Combine like terms: -8 + 8 = 0
0 + 5x = 9 + 8
5x = 9 + 8

Combine like terms: 9 + 8 = 17
5x = 17

Divide each side by '5'.
x = 3.4

Simplifying
x = 3.4

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