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

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


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

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

Reorder the terms:
-5 + 5x + 3(3 + x) = 2(x + -7)
-5 + 5x + (3 * 3 + x * 3) = 2(x + -7)
-5 + 5x + (9 + 3x) = 2(x + -7)

Reorder the terms:
-5 + 9 + 5x + 3x = 2(x + -7)

Combine like terms: -5 + 9 = 4
4 + 5x + 3x = 2(x + -7)

Combine like terms: 5x + 3x = 8x
4 + 8x = 2(x + -7)

Reorder the terms:
4 + 8x = 2(-7 + x)
4 + 8x = (-7 * 2 + x * 2)
4 + 8x = (-14 + 2x)

Solving
4 + 8x = -14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4 + 8x + -2x = -14 + 2x + -2x

Combine like terms: 8x + -2x = 6x
4 + 6x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 6x = -14 + 0
4 + 6x = -14

Add '-4' to each side of the equation.
4 + -4 + 6x = -14 + -4

Combine like terms: 4 + -4 = 0
0 + 6x = -14 + -4
6x = -14 + -4

Combine like terms: -14 + -4 = -18
6x = -18

Divide each side by '6'.
x = -3

Simplifying
x = -3

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