8x-5(2x-1)=3x+10

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Solution for 8x-5(2x-1)=3x+10 equation:


Simplifying
8x + -5(2x + -1) = 3x + 10

Reorder the terms:
8x + -5(-1 + 2x) = 3x + 10
8x + (-1 * -5 + 2x * -5) = 3x + 10
8x + (5 + -10x) = 3x + 10

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

Combine like terms: 8x + -10x = -2x
5 + -2x = 3x + 10

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

Solving
5 + -2x = 10 + 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.
5 + -2x + -3x = 10 + 3x + -3x

Combine like terms: -2x + -3x = -5x
5 + -5x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -5x = 10 + 0
5 + -5x = 10

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

Combine like terms: 5 + -5 = 0
0 + -5x = 10 + -5
-5x = 10 + -5

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

Divide each side by '-5'.
x = -1

Simplifying
x = -1

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