3(x-1)+5=10-x

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Solution for 3(x-1)+5=10-x equation:


Simplifying
3(x + -1) + 5 = 10 + -1x

Reorder the terms:
3(-1 + x) + 5 = 10 + -1x
(-1 * 3 + x * 3) + 5 = 10 + -1x
(-3 + 3x) + 5 = 10 + -1x

Reorder the terms:
-3 + 5 + 3x = 10 + -1x

Combine like terms: -3 + 5 = 2
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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