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

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


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

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

Solving
6 + -4x = 28 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + -4x + -7x = 28 + 7x + -7x

Combine like terms: -4x + -7x = -11x
6 + -11x = 28 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -11x = 28 + 0
6 + -11x = 28

Add '-6' to each side of the equation.
6 + -6 + -11x = 28 + -6

Combine like terms: 6 + -6 = 0
0 + -11x = 28 + -6
-11x = 28 + -6

Combine like terms: 28 + -6 = 22
-11x = 22

Divide each side by '-11'.
x = -2

Simplifying
x = -2

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