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

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


Simplifying
3(1 + -1x) + 5 = 3(1 + x) + -7
(1 * 3 + -1x * 3) + 5 = 3(1 + x) + -7
(3 + -3x) + 5 = 3(1 + x) + -7

Reorder the terms:
3 + 5 + -3x = 3(1 + x) + -7

Combine like terms: 3 + 5 = 8
8 + -3x = 3(1 + x) + -7
8 + -3x = (1 * 3 + x * 3) + -7
8 + -3x = (3 + 3x) + -7

Reorder the terms:
8 + -3x = 3 + -7 + 3x

Combine like terms: 3 + -7 = -4
8 + -3x = -4 + 3x

Solving
8 + -3x = -4 + 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.
8 + -3x + -3x = -4 + 3x + -3x

Combine like terms: -3x + -3x = -6x
8 + -6x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -6x = -4 + 0
8 + -6x = -4

Add '-8' to each side of the equation.
8 + -8 + -6x = -4 + -8

Combine like terms: 8 + -8 = 0
0 + -6x = -4 + -8
-6x = -4 + -8

Combine like terms: -4 + -8 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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