4-2(3x-5)+x=7-(1-3x)

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Solution for 4-2(3x-5)+x=7-(1-3x) equation: 


Simplifying
4 + -2(3x + -5) + x = 7 + -1(1 + -3x)

Reorder the terms:
4 + -2(-5 + 3x) + x = 7 + -1(1 + -3x)
4 + (-5 * -2 + 3x * -2) + x = 7 + -1(1 + -3x)
4 + (10 + -6x) + x = 7 + -1(1 + -3x)

Combine like terms: 4 + 10 = 14
14 + -6x + x = 7 + -1(1 + -3x)

Combine like terms: -6x + x = -5x
14 + -5x = 7 + -1(1 + -3x)
14 + -5x = 7 + (1 * -1 + -3x * -1)
14 + -5x = 7 + (-1 + 3x)

Combine like terms: 7 + -1 = 6
14 + -5x = 6 + 3x

Solving
14 + -5x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
14 + -5x + -3x = 6 + 3x + -3x

Combine like terms: -5x + -3x = -8x
14 + -8x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -8x = 6 + 0
14 + -8x = 6

Add '-14' to each side of the equation.
14 + -14 + -8x = 6 + -14

Combine like terms: 14 + -14 = 0
0 + -8x = 6 + -14
-8x = 6 + -14

Combine like terms: 6 + -14 = -8
-8x = -8

Divide each side by '-8'.
x = 1

Simplifying
x = 1

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