3(x+2)-1(x-4)+1(x-3)=5(x-1)-1(x-7)

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Solution for 3(x+2)-1(x-4)+1(x-3)=5(x-1)-1(x-7) equation: 


Simplifying
3(x + 2) + -1(x + -4) + 1(x + -3) = 5(x + -1) + -1(x + -7)

Reorder the terms:
3(2 + x) + -1(x + -4) + 1(x + -3) = 5(x + -1) + -1(x + -7)
(2 * 3 + x * 3) + -1(x + -4) + 1(x + -3) = 5(x + -1) + -1(x + -7)
(6 + 3x) + -1(x + -4) + 1(x + -3) = 5(x + -1) + -1(x + -7)

Reorder the terms:
6 + 3x + -1(-4 + x) + 1(x + -3) = 5(x + -1) + -1(x + -7)
6 + 3x + (-4 * -1 + x * -1) + 1(x + -3) = 5(x + -1) + -1(x + -7)
6 + 3x + (4 + -1x) + 1(x + -3) = 5(x + -1) + -1(x + -7)

Reorder the terms:
6 + 3x + 4 + -1x + 1(-3 + x) = 5(x + -1) + -1(x + -7)
6 + 3x + 4 + -1x + (-3 * 1 + x * 1) = 5(x + -1) + -1(x + -7)
6 + 3x + 4 + -1x + (-3 + 1x) = 5(x + -1) + -1(x + -7)

Reorder the terms:
6 + 4 + -3 + 3x + -1x + 1x = 5(x + -1) + -1(x + -7)

Combine like terms: 6 + 4 = 10
10 + -3 + 3x + -1x + 1x = 5(x + -1) + -1(x + -7)

Combine like terms: 10 + -3 = 7
7 + 3x + -1x + 1x = 5(x + -1) + -1(x + -7)

Combine like terms: 3x + -1x = 2x
7 + 2x + 1x = 5(x + -1) + -1(x + -7)

Combine like terms: 2x + 1x = 3x
7 + 3x = 5(x + -1) + -1(x + -7)

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

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

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

Combine like terms: -5 + 7 = 2
7 + 3x = 2 + 5x + -1x

Combine like terms: 5x + -1x = 4x
7 + 3x = 2 + 4x

Solving
7 + 3x = 2 + 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 = 2 + 4x + -4x

Combine like terms: 3x + -4x = -1x
7 + -1x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + -1x = 2 + 0
7 + -1x = 2

Add '-7' to each side of the equation.
7 + -7 + -1x = 2 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 2 + -7
-1x = 2 + -7

Combine like terms: 2 + -7 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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