8x+5=2(3x+3)-10

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Solution for 8x+5=2(3x+3)-10 equation:


Simplifying
8x + 5 = 2(3x + 3) + -10

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

Reorder the terms:
5 + 8x = 2(3 + 3x) + -10
5 + 8x = (3 * 2 + 3x * 2) + -10
5 + 8x = (6 + 6x) + -10

Reorder the terms:
5 + 8x = 6 + -10 + 6x

Combine like terms: 6 + -10 = -4
5 + 8x = -4 + 6x

Solving
5 + 8x = -4 + 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.
5 + 8x + -6x = -4 + 6x + -6x

Combine like terms: 8x + -6x = 2x
5 + 2x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + 2x = -4 + 0
5 + 2x = -4

Add '-5' to each side of the equation.
5 + -5 + 2x = -4 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = -4 + -5
2x = -4 + -5

Combine like terms: -4 + -5 = -9
2x = -9

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5

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