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

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


Simplifying
5(8 + -3x) + 8 = 2 + 3(x + -5)
(8 * 5 + -3x * 5) + 8 = 2 + 3(x + -5)
(40 + -15x) + 8 = 2 + 3(x + -5)

Reorder the terms:
40 + 8 + -15x = 2 + 3(x + -5)

Combine like terms: 40 + 8 = 48
48 + -15x = 2 + 3(x + -5)

Reorder the terms:
48 + -15x = 2 + 3(-5 + x)
48 + -15x = 2 + (-5 * 3 + x * 3)
48 + -15x = 2 + (-15 + 3x)

Combine like terms: 2 + -15 = -13
48 + -15x = -13 + 3x

Solving
48 + -15x = -13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
48 + -15x + -3x = -13 + 3x + -3x

Combine like terms: -15x + -3x = -18x
48 + -18x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 0
48 + -18x = -13 + 0
48 + -18x = -13

Add '-48' to each side of the equation.
48 + -48 + -18x = -13 + -48

Combine like terms: 48 + -48 = 0
0 + -18x = -13 + -48
-18x = -13 + -48

Combine like terms: -13 + -48 = -61
-18x = -61

Divide each side by '-18'.
x = 3.388888889

Simplifying
x = 3.388888889

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