2(3x-1)=7(2x+2)

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Solution for 2(3x-1)=7(2x+2) equation:


Simplifying
2(3x + -1) = 7(2x + 2)

Reorder the terms:
2(-1 + 3x) = 7(2x + 2)
(-1 * 2 + 3x * 2) = 7(2x + 2)
(-2 + 6x) = 7(2x + 2)

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

Solving
-2 + 6x = 14 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-2 + 6x + -14x = 14 + 14x + -14x

Combine like terms: 6x + -14x = -8x
-2 + -8x = 14 + 14x + -14x

Combine like terms: 14x + -14x = 0
-2 + -8x = 14 + 0
-2 + -8x = 14

Add '2' to each side of the equation.
-2 + 2 + -8x = 14 + 2

Combine like terms: -2 + 2 = 0
0 + -8x = 14 + 2
-8x = 14 + 2

Combine like terms: 14 + 2 = 16
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2

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