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

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


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

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

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

Combine like terms: 3 + 7 = 10
2 + 3x = 10 + -1x

Solving
2 + 3x = 10 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2 + 3x + x = 10 + -1x + x

Combine like terms: 3x + x = 4x
2 + 4x = 10 + -1x + x

Combine like terms: -1x + x = 0
2 + 4x = 10 + 0
2 + 4x = 10

Add '-2' to each side of the equation.
2 + -2 + 4x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 10 + -2
4x = 10 + -2

Combine like terms: 10 + -2 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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