2[3-4(x-1)]=-13+x

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Solution for 2[3-4(x-1)]=-13+x equation: 


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

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

Combine like terms: 3 + 4 = 7
2[7 + -4x] = -13 + x
[7 * 2 + -4x * 2] = -13 + x
[14 + -8x] = -13 + x

Solving
14 + -8x = -13 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
14 + -8x + -1x = -13 + x + -1x

Combine like terms: -8x + -1x = -9x
14 + -9x = -13 + x + -1x

Combine like terms: x + -1x = 0
14 + -9x = -13 + 0
14 + -9x = -13

Add '-14' to each side of the equation.
14 + -14 + -9x = -13 + -14

Combine like terms: 14 + -14 = 0
0 + -9x = -13 + -14
-9x = -13 + -14

Combine like terms: -13 + -14 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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