3x-(12-x)=5+2(x-1)-1

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Solution for 3x-(12-x)=5+2(x-1)-1 equation:


Simplifying
3x + -1(12 + -1x) = 5 + 2(x + -1) + -1
3x + (12 * -1 + -1x * -1) = 5 + 2(x + -1) + -1
3x + (-12 + 1x) = 5 + 2(x + -1) + -1

Reorder the terms:
-12 + 3x + 1x = 5 + 2(x + -1) + -1

Combine like terms: 3x + 1x = 4x
-12 + 4x = 5 + 2(x + -1) + -1

Reorder the terms:
-12 + 4x = 5 + 2(-1 + x) + -1
-12 + 4x = 5 + (-1 * 2 + x * 2) + -1
-12 + 4x = 5 + (-2 + 2x) + -1

Reorder the terms:
-12 + 4x = 5 + -2 + -1 + 2x

Combine like terms: 5 + -2 = 3
-12 + 4x = 3 + -1 + 2x

Combine like terms: 3 + -1 = 2
-12 + 4x = 2 + 2x

Solving
-12 + 4x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-12 + 4x + -2x = 2 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-12 + 2x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 2x = 2 + 0
-12 + 2x = 2

Add '12' to each side of the equation.
-12 + 12 + 2x = 2 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 2 + 12
2x = 2 + 12

Combine like terms: 2 + 12 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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