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

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


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

Reorder the terms:
6(-5 + 2x) = 2(x + 5)
(-5 * 6 + 2x * 6) = 2(x + 5)
(-30 + 12x) = 2(x + 5)

Reorder the terms:
-30 + 12x = 2(5 + x)
-30 + 12x = (5 * 2 + x * 2)
-30 + 12x = (10 + 2x)

Solving
-30 + 12x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-30 + 12x + -2x = 10 + 2x + -2x

Combine like terms: 12x + -2x = 10x
-30 + 10x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-30 + 10x = 10 + 0
-30 + 10x = 10

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

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

Combine like terms: 10 + 30 = 40
10x = 40

Divide each side by '10'.
x = 4

Simplifying
x = 4

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