2x+3(x-4)-(2-x)=7

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Solution for 2x+3(x-4)-(2-x)=7 equation: 


Simplifying
2x + 3(x + -4) + -1(2 + -1x) = 7

Reorder the terms:
2x + 3(-4 + x) + -1(2 + -1x) = 7
2x + (-4 * 3 + x * 3) + -1(2 + -1x) = 7
2x + (-12 + 3x) + -1(2 + -1x) = 7
2x + -12 + 3x + (2 * -1 + -1x * -1) = 7
2x + -12 + 3x + (-2 + 1x) = 7

Reorder the terms:
-12 + -2 + 2x + 3x + 1x = 7

Combine like terms: -12 + -2 = -14
-14 + 2x + 3x + 1x = 7

Combine like terms: 2x + 3x = 5x
-14 + 5x + 1x = 7

Combine like terms: 5x + 1x = 6x
-14 + 6x = 7

Solving
-14 + 6x = 7

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 6x = 7 + 14

Combine like terms: -14 + 14 = 0
0 + 6x = 7 + 14
6x = 7 + 14

Combine like terms: 7 + 14 = 21
6x = 21

Divide each side by '6'.
x = 3.5

Simplifying
x = 3.5

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