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

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


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

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

Reorder the terms:
7 + -2 + 6 + 2x + -3x = 3x + -5

Combine like terms: 7 + -2 = 5
5 + 6 + 2x + -3x = 3x + -5

Combine like terms: 5 + 6 = 11
11 + 2x + -3x = 3x + -5

Combine like terms: 2x + -3x = -1x
11 + -1x = 3x + -5

Reorder the terms:
11 + -1x = -5 + 3x

Solving
11 + -1x = -5 + 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.
11 + -1x + -3x = -5 + 3x + -3x

Combine like terms: -1x + -3x = -4x
11 + -4x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -4x = -5 + 0
11 + -4x = -5

Add '-11' to each side of the equation.
11 + -11 + -4x = -5 + -11

Combine like terms: 11 + -11 = 0
0 + -4x = -5 + -11
-4x = -5 + -11

Combine like terms: -5 + -11 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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