1-3(x-2)=2-7(1-x)

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


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

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

Combine like terms: 1 + 6 = 7
7 + -3x = 2 + -7(1 + -1x)
7 + -3x = 2 + (1 * -7 + -1x * -7)
7 + -3x = 2 + (-7 + 7x)

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

Solving
7 + -3x = -5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
7 + -3x + -7x = -5 + 7x + -7x

Combine like terms: -3x + -7x = -10x
7 + -10x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
7 + -10x = -5 + 0
7 + -10x = -5

Add '-7' to each side of the equation.
7 + -7 + -10x = -5 + -7

Combine like terms: 7 + -7 = 0
0 + -10x = -5 + -7
-10x = -5 + -7

Combine like terms: -5 + -7 = -12
-10x = -12

Divide each side by '-10'.
x = 1.2

Simplifying
x = 1.2

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