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

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


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

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

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

Combine like terms: -2 + 7 = 5
5 + 2x = 5 + -3(-3 + x)
5 + 2x = 5 + (-3 * -3 + x * -3)
5 + 2x = 5 + (9 + -3x)

Combine like terms: 5 + 9 = 14
5 + 2x = 14 + -3x

Solving
5 + 2x = 14 + -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.
5 + 2x + 3x = 14 + -3x + 3x

Combine like terms: 2x + 3x = 5x
5 + 5x = 14 + -3x + 3x

Combine like terms: -3x + 3x = 0
5 + 5x = 14 + 0
5 + 5x = 14

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

Combine like terms: 5 + -5 = 0
0 + 5x = 14 + -5
5x = 14 + -5

Combine like terms: 14 + -5 = 9
5x = 9

Divide each side by '5'.
x = 1.8

Simplifying
x = 1.8

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