5(x+3)-4(x-4)=8+2(3x-1)

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Solution for 5(x+3)-4(x-4)=8+2(3x-1) equation:


Simplifying
5(x + 3) + -4(x + -4) = 8 + 2(3x + -1)

Reorder the terms:
5(3 + x) + -4(x + -4) = 8 + 2(3x + -1)
(3 * 5 + x * 5) + -4(x + -4) = 8 + 2(3x + -1)
(15 + 5x) + -4(x + -4) = 8 + 2(3x + -1)

Reorder the terms:
15 + 5x + -4(-4 + x) = 8 + 2(3x + -1)
15 + 5x + (-4 * -4 + x * -4) = 8 + 2(3x + -1)
15 + 5x + (16 + -4x) = 8 + 2(3x + -1)

Reorder the terms:
15 + 16 + 5x + -4x = 8 + 2(3x + -1)

Combine like terms: 15 + 16 = 31
31 + 5x + -4x = 8 + 2(3x + -1)

Combine like terms: 5x + -4x = 1x
31 + 1x = 8 + 2(3x + -1)

Reorder the terms:
31 + 1x = 8 + 2(-1 + 3x)
31 + 1x = 8 + (-1 * 2 + 3x * 2)
31 + 1x = 8 + (-2 + 6x)

Combine like terms: 8 + -2 = 6
31 + 1x = 6 + 6x

Solving
31 + 1x = 6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
31 + 1x + -6x = 6 + 6x + -6x

Combine like terms: 1x + -6x = -5x
31 + -5x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
31 + -5x = 6 + 0
31 + -5x = 6

Add '-31' to each side of the equation.
31 + -31 + -5x = 6 + -31

Combine like terms: 31 + -31 = 0
0 + -5x = 6 + -31
-5x = 6 + -31

Combine like terms: 6 + -31 = -25
-5x = -25

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

Simplifying
x = 5

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