3(2x-1)-(4-x)=5x-13

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Solution for 3(2x-1)-(4-x)=5x-13 equation:


Simplifying
3(2x + -1) + -1(4 + -1x) = 5x + -13

Reorder the terms:
3(-1 + 2x) + -1(4 + -1x) = 5x + -13
(-1 * 3 + 2x * 3) + -1(4 + -1x) = 5x + -13
(-3 + 6x) + -1(4 + -1x) = 5x + -13
-3 + 6x + (4 * -1 + -1x * -1) = 5x + -13
-3 + 6x + (-4 + 1x) = 5x + -13

Reorder the terms:
-3 + -4 + 6x + 1x = 5x + -13

Combine like terms: -3 + -4 = -7
-7 + 6x + 1x = 5x + -13

Combine like terms: 6x + 1x = 7x
-7 + 7x = 5x + -13

Reorder the terms:
-7 + 7x = -13 + 5x

Solving
-7 + 7x = -13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-7 + 7x + -5x = -13 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-7 + 2x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-7 + 2x = -13 + 0
-7 + 2x = -13

Add '7' to each side of the equation.
-7 + 7 + 2x = -13 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = -13 + 7
2x = -13 + 7

Combine like terms: -13 + 7 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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