x-(4x-7)=5x-(x-12)

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Solution for x-(4x-7)=5x-(x-12) equation:


Simplifying
x + -1(4x + -7) = 5x + -1(x + -12)

Reorder the terms:
x + -1(-7 + 4x) = 5x + -1(x + -12)
x + (-7 * -1 + 4x * -1) = 5x + -1(x + -12)
x + (7 + -4x) = 5x + -1(x + -12)

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

Combine like terms: x + -4x = -3x
7 + -3x = 5x + -1(x + -12)

Reorder the terms:
7 + -3x = 5x + -1(-12 + x)
7 + -3x = 5x + (-12 * -1 + x * -1)
7 + -3x = 5x + (12 + -1x)

Reorder the terms:
7 + -3x = 12 + 5x + -1x

Combine like terms: 5x + -1x = 4x
7 + -3x = 12 + 4x

Solving
7 + -3x = 12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
7 + -3x + -4x = 12 + 4x + -4x

Combine like terms: -3x + -4x = -7x
7 + -7x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + -7x = 12 + 0
7 + -7x = 12

Add '-7' to each side of the equation.
7 + -7 + -7x = 12 + -7

Combine like terms: 7 + -7 = 0
0 + -7x = 12 + -7
-7x = 12 + -7

Combine like terms: 12 + -7 = 5
-7x = 5

Divide each side by '-7'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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