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

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


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

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

Combine like terms: 10 + 6 = 16
16 + -2x = 8 + 3(2x + 5)

Reorder the terms:
16 + -2x = 8 + 3(5 + 2x)
16 + -2x = 8 + (5 * 3 + 2x * 3)
16 + -2x = 8 + (15 + 6x)

Combine like terms: 8 + 15 = 23
16 + -2x = 23 + 6x

Solving
16 + -2x = 23 + 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.
16 + -2x + -6x = 23 + 6x + -6x

Combine like terms: -2x + -6x = -8x
16 + -8x = 23 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + -8x = 23 + 0
16 + -8x = 23

Add '-16' to each side of the equation.
16 + -16 + -8x = 23 + -16

Combine like terms: 16 + -16 = 0
0 + -8x = 23 + -16
-8x = 23 + -16

Combine like terms: 23 + -16 = 7
-8x = 7

Divide each side by '-8'.
x = -0.875

Simplifying
x = -0.875

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