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

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


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

Reorder the terms:
3(4 + 2x) = 4(x + 7) + -2
(4 * 3 + 2x * 3) = 4(x + 7) + -2
(12 + 6x) = 4(x + 7) + -2

Reorder the terms:
12 + 6x = 4(7 + x) + -2
12 + 6x = (7 * 4 + x * 4) + -2
12 + 6x = (28 + 4x) + -2

Reorder the terms:
12 + 6x = 28 + -2 + 4x

Combine like terms: 28 + -2 = 26
12 + 6x = 26 + 4x

Solving
12 + 6x = 26 + 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.
12 + 6x + -4x = 26 + 4x + -4x

Combine like terms: 6x + -4x = 2x
12 + 2x = 26 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 2x = 26 + 0
12 + 2x = 26

Add '-12' to each side of the equation.
12 + -12 + 2x = 26 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 26 + -12
2x = 26 + -12

Combine like terms: 26 + -12 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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