2(5x-6)=4(x-3(x-10))

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Solution for 2(5x-6)=4(x-3(x-10)) equation: 


Simplifying
2(5x + -6) = 4(x + -3(x + -10))

Reorder the terms:
2(-6 + 5x) = 4(x + -3(x + -10))
(-6 * 2 + 5x * 2) = 4(x + -3(x + -10))
(-12 + 10x) = 4(x + -3(x + -10))

Reorder the terms:
-12 + 10x = 4(x + -3(-10 + x))
-12 + 10x = 4(x + (-10 * -3 + x * -3))
-12 + 10x = 4(x + (30 + -3x))

Reorder the terms:
-12 + 10x = 4(30 + x + -3x)

Combine like terms: x + -3x = -2x
-12 + 10x = 4(30 + -2x)
-12 + 10x = (30 * 4 + -2x * 4)
-12 + 10x = (120 + -8x)

Solving
-12 + 10x = 120 + -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.
-12 + 10x + 8x = 120 + -8x + 8x

Combine like terms: 10x + 8x = 18x
-12 + 18x = 120 + -8x + 8x

Combine like terms: -8x + 8x = 0
-12 + 18x = 120 + 0
-12 + 18x = 120

Add '12' to each side of the equation.
-12 + 12 + 18x = 120 + 12

Combine like terms: -12 + 12 = 0
0 + 18x = 120 + 12
18x = 120 + 12

Combine like terms: 120 + 12 = 132
18x = 132

Divide each side by '18'.
x = 7.333333333

Simplifying
x = 7.333333333

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