4x-6=2(7-3x)

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Solution for 4x-6=2(7-3x) equation:


Simplifying
4x + -6 = 2(7 + -3x)

Reorder the terms:
-6 + 4x = 2(7 + -3x)
-6 + 4x = (7 * 2 + -3x * 2)
-6 + 4x = (14 + -6x)

Solving
-6 + 4x = 14 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-6 + 4x + 6x = 14 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-6 + 10x = 14 + -6x + 6x

Combine like terms: -6x + 6x = 0
-6 + 10x = 14 + 0
-6 + 10x = 14

Add '6' to each side of the equation.
-6 + 6 + 10x = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = 14 + 6
10x = 14 + 6

Combine like terms: 14 + 6 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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