8(x-2)-5(3-x)+16=15-4(3-x)

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Solution for 8(x-2)-5(3-x)+16=15-4(3-x) equation:


Simplifying
8(x + -2) + -5(3 + -1x) + 16 = 15 + -4(3 + -1x)

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

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

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

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

Combine like terms: 8x + 5x = 13x
-15 + 13x = 15 + -4(3 + -1x)
-15 + 13x = 15 + (3 * -4 + -1x * -4)
-15 + 13x = 15 + (-12 + 4x)

Combine like terms: 15 + -12 = 3
-15 + 13x = 3 + 4x

Solving
-15 + 13x = 3 + 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.
-15 + 13x + -4x = 3 + 4x + -4x

Combine like terms: 13x + -4x = 9x
-15 + 9x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + 9x = 3 + 0
-15 + 9x = 3

Add '15' to each side of the equation.
-15 + 15 + 9x = 3 + 15

Combine like terms: -15 + 15 = 0
0 + 9x = 3 + 15
9x = 3 + 15

Combine like terms: 3 + 15 = 18
9x = 18

Divide each side by '9'.
x = 2

Simplifying
x = 2

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