3(x+5)-(x-7)=4(1-X)

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Solution for 3(x+5)-(x-7)=4(1-X) equation: 


Simplifying
3(x + 5) + -1(x + -7) = 4(1 + -1X)

Reorder the terms:
3(5 + x) + -1(x + -7) = 4(1 + -1X)
(5 * 3 + x * 3) + -1(x + -7) = 4(1 + -1X)
(15 + 3x) + -1(x + -7) = 4(1 + -1X)

Reorder the terms:
15 + 3x + -1(-7 + x) = 4(1 + -1X)
15 + 3x + (-7 * -1 + x * -1) = 4(1 + -1X)
15 + 3x + (7 + -1x) = 4(1 + -1X)

Reorder the terms:
15 + 7 + 3x + -1x = 4(1 + -1X)

Combine like terms: 15 + 7 = 22
22 + 3x + -1x = 4(1 + -1X)

Combine like terms: 3x + -1x = 2x
22 + 2x = 4(1 + -1X)
22 + 2x = (1 * 4 + -1X * 4)
22 + 2x = (4 + -4X)

Solving
22 + 2x = 4 + -4X

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + 2x = 4 + -22 + -4X

Combine like terms: 22 + -22 = 0
0 + 2x = 4 + -22 + -4X
2x = 4 + -22 + -4X

Combine like terms: 4 + -22 = -18
2x = -18 + -4X

Divide each side by '2'.
x = -9 + -2X

Simplifying
x = -9 + -2X

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