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

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


Simplifying
4(2x + 7) = 3(6 + -1x)

Reorder the terms:
4(7 + 2x) = 3(6 + -1x)
(7 * 4 + 2x * 4) = 3(6 + -1x)
(28 + 8x) = 3(6 + -1x)
28 + 8x = (6 * 3 + -1x * 3)
28 + 8x = (18 + -3x)

Solving
28 + 8x = 18 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
28 + 8x + 3x = 18 + -3x + 3x

Combine like terms: 8x + 3x = 11x
28 + 11x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
28 + 11x = 18 + 0
28 + 11x = 18

Add '-28' to each side of the equation.
28 + -28 + 11x = 18 + -28

Combine like terms: 28 + -28 = 0
0 + 11x = 18 + -28
11x = 18 + -28

Combine like terms: 18 + -28 = -10
11x = -10

Divide each side by '11'.
x = -0.9090909091

Simplifying
x = -0.9090909091

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