9x-2(x-5)=8x+5

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Solution for 9x-2(x-5)=8x+5 equation:


Simplifying
9x + -2(x + -5) = 8x + 5

Reorder the terms:
9x + -2(-5 + x) = 8x + 5
9x + (-5 * -2 + x * -2) = 8x + 5
9x + (10 + -2x) = 8x + 5

Reorder the terms:
10 + 9x + -2x = 8x + 5

Combine like terms: 9x + -2x = 7x
10 + 7x = 8x + 5

Reorder the terms:
10 + 7x = 5 + 8x

Solving
10 + 7x = 5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
10 + 7x + -8x = 5 + 8x + -8x

Combine like terms: 7x + -8x = -1x
10 + -1x = 5 + 8x + -8x

Combine like terms: 8x + -8x = 0
10 + -1x = 5 + 0
10 + -1x = 5

Add '-10' to each side of the equation.
10 + -10 + -1x = 5 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 5 + -10
-1x = 5 + -10

Combine like terms: 5 + -10 = -5
-1x = -5

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

Simplifying
x = 5

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