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

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


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

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

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

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

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

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

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

Solving
1 + 5x = -4 + 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.
1 + 5x + -2x = -4 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
1 + 3x = -4 + 0
1 + 3x = -4

Add '-1' to each side of the equation.
1 + -1 + 3x = -4 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = -4 + -1
3x = -4 + -1

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

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

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