10x-2(2x-3)=3(x+6)

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


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

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

Reorder the terms:
6 + 10x + -4x = 3(x + 6)

Combine like terms: 10x + -4x = 6x
6 + 6x = 3(x + 6)

Reorder the terms:
6 + 6x = 3(6 + x)
6 + 6x = (6 * 3 + x * 3)
6 + 6x = (18 + 3x)

Solving
6 + 6x = 18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + 6x + -3x = 18 + 3x + -3x

Combine like terms: 6x + -3x = 3x
6 + 3x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 3x = 18 + 0
6 + 3x = 18

Add '-6' to each side of the equation.
6 + -6 + 3x = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 18 + -6
3x = 18 + -6

Combine like terms: 18 + -6 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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