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 + -3x)

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

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

Combine like terms: -6x + x = -5x
14 + -5x = 7(1 + -3x)
14 + -5x = (1 * 7 + -3x * 7)
14 + -5x = (7 + -21x)

Solving
14 + -5x = 7 + -21x

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
14 + -5x + 21x = 7 + -21x + 21x

Combine like terms: -5x + 21x = 16x
14 + 16x = 7 + -21x + 21x

Combine like terms: -21x + 21x = 0
14 + 16x = 7 + 0
14 + 16x = 7

Add '-14' to each side of the equation.
14 + -14 + 16x = 7 + -14

Combine like terms: 14 + -14 = 0
0 + 16x = 7 + -14
16x = 7 + -14

Combine like terms: 7 + -14 = -7
16x = -7

Divide each side by '16'.
x = -0.4375

Simplifying
x = -0.4375

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