8(x-1)=5x+10

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


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

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

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

Solving
-8 + 8x = 10 + 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.
-8 + 8x + -5x = 10 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-8 + 3x = 10 + 0
-8 + 3x = 10

Add '8' to each side of the equation.
-8 + 8 + 3x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 10 + 8
3x = 10 + 8

Combine like terms: 10 + 8 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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