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) + -1x + -7 = 4(1 + -1x)

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

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

Combine like terms: 15 + -7 = 8
8 + 3x + -1x = 4(1 + -1x)

Combine like terms: 3x + -1x = 2x
8 + 2x = 4(1 + -1x)
8 + 2x = (1 * 4 + -1x * 4)
8 + 2x = (4 + -4x)

Solving
8 + 2x = 4 + -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.
8 + 2x + 4x = 4 + -4x + 4x

Combine like terms: 2x + 4x = 6x
8 + 6x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
8 + 6x = 4 + 0
8 + 6x = 4

Add '-8' to each side of the equation.
8 + -8 + 6x = 4 + -8

Combine like terms: 8 + -8 = 0
0 + 6x = 4 + -8
6x = 4 + -8

Combine like terms: 4 + -8 = -4
6x = -4

Divide each side by '6'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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