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

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


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

Reorder the terms:
5(8 + 2x) + -2 = 5(x + -3) + 3
(8 * 5 + 2x * 5) + -2 = 5(x + -3) + 3
(40 + 10x) + -2 = 5(x + -3) + 3

Reorder the terms:
40 + -2 + 10x = 5(x + -3) + 3

Combine like terms: 40 + -2 = 38
38 + 10x = 5(x + -3) + 3

Reorder the terms:
38 + 10x = 5(-3 + x) + 3
38 + 10x = (-3 * 5 + x * 5) + 3
38 + 10x = (-15 + 5x) + 3

Reorder the terms:
38 + 10x = -15 + 3 + 5x

Combine like terms: -15 + 3 = -12
38 + 10x = -12 + 5x

Solving
38 + 10x = -12 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
38 + 10x + -5x = -12 + 5x + -5x

Combine like terms: 10x + -5x = 5x
38 + 5x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
38 + 5x = -12 + 0
38 + 5x = -12

Add '-38' to each side of the equation.
38 + -38 + 5x = -12 + -38

Combine like terms: 38 + -38 = 0
0 + 5x = -12 + -38
5x = -12 + -38

Combine like terms: -12 + -38 = -50
5x = -50

Divide each side by '5'.
x = -10

Simplifying
x = -10

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