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

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


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

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

Remove parenthesis around (-4 + 3x)
-4 + 3x = 2(x + 7)

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

Solving
-4 + 3x = 14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + 3x + -2x = 14 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-4 + 1x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + 1x = 14 + 0
-4 + 1x = 14

Add '4' to each side of the equation.
-4 + 4 + 1x = 14 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = 14 + 4
1x = 14 + 4

Combine like terms: 14 + 4 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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