8x-2(x+5)=5(2x-6)

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Solution for 8x-2(x+5)=5(2x-6) equation:


Simplifying
8x + -2(x + 5) = 5(2x + -6)

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

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

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

Reorder the terms:
-10 + 6x = 5(-6 + 2x)
-10 + 6x = (-6 * 5 + 2x * 5)
-10 + 6x = (-30 + 10x)

Solving
-10 + 6x = -30 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-10 + 6x + -10x = -30 + 10x + -10x

Combine like terms: 6x + -10x = -4x
-10 + -4x = -30 + 10x + -10x

Combine like terms: 10x + -10x = 0
-10 + -4x = -30 + 0
-10 + -4x = -30

Add '10' to each side of the equation.
-10 + 10 + -4x = -30 + 10

Combine like terms: -10 + 10 = 0
0 + -4x = -30 + 10
-4x = -30 + 10

Combine like terms: -30 + 10 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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