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

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


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

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

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

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

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

Solving
2 + 3x = 7 + -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.
2 + 3x + 3x = 7 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
2 + 6x = 7 + 0
2 + 6x = 7

Add '-2' to each side of the equation.
2 + -2 + 6x = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = 7 + -2
6x = 7 + -2

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

Divide each side by '6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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