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

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


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

Reorder the terms:
4(-2 + 3x) = 2(2x + 7)
(-2 * 4 + 3x * 4) = 2(2x + 7)
(-8 + 12x) = 2(2x + 7)

Reorder the terms:
-8 + 12x = 2(7 + 2x)
-8 + 12x = (7 * 2 + 2x * 2)
-8 + 12x = (14 + 4x)

Solving
-8 + 12x = 14 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-8 + 12x + -4x = 14 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-8 + 8x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + 8x = 14 + 0
-8 + 8x = 14

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

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

Combine like terms: 14 + 8 = 22
8x = 22

Divide each side by '8'.
x = 2.75

Simplifying
x = 2.75

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