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

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


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

Reorder the terms:
3(7 + x) = 4(2x + -6)
(7 * 3 + x * 3) = 4(2x + -6)
(21 + 3x) = 4(2x + -6)

Reorder the terms:
21 + 3x = 4(-6 + 2x)
21 + 3x = (-6 * 4 + 2x * 4)
21 + 3x = (-24 + 8x)

Solving
21 + 3x = -24 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
21 + 3x + -8x = -24 + 8x + -8x

Combine like terms: 3x + -8x = -5x
21 + -5x = -24 + 8x + -8x

Combine like terms: 8x + -8x = 0
21 + -5x = -24 + 0
21 + -5x = -24

Add '-21' to each side of the equation.
21 + -21 + -5x = -24 + -21

Combine like terms: 21 + -21 = 0
0 + -5x = -24 + -21
-5x = -24 + -21

Combine like terms: -24 + -21 = -45
-5x = -45

Divide each side by '-5'.
x = 9

Simplifying
x = 9

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