5x-10=8(x-2)

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


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

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

Reorder the terms:
-10 + 5x = 8(-2 + x)
-10 + 5x = (-2 * 8 + x * 8)
-10 + 5x = (-16 + 8x)

Solving
-10 + 5x = -16 + 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 + 5x + -8x = -16 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-10 + -3x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
-10 + -3x = -16 + 0
-10 + -3x = -16

Add '10' to each side of the equation.
-10 + 10 + -3x = -16 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = -16 + 10
-3x = -16 + 10

Combine like terms: -16 + 10 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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