6(3x+4)=13-(x+7)

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Solution for 6(3x+4)=13-(x+7) equation:


Simplifying
6(3x + 4) = 13 + -1(x + 7)

Reorder the terms:
6(4 + 3x) = 13 + -1(x + 7)
(4 * 6 + 3x * 6) = 13 + -1(x + 7)
(24 + 18x) = 13 + -1(x + 7)

Reorder the terms:
24 + 18x = 13 + -1(7 + x)
24 + 18x = 13 + (7 * -1 + x * -1)
24 + 18x = 13 + (-7 + -1x)

Combine like terms: 13 + -7 = 6
24 + 18x = 6 + -1x

Solving
24 + 18x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
24 + 18x + x = 6 + -1x + x

Combine like terms: 18x + x = 19x
24 + 19x = 6 + -1x + x

Combine like terms: -1x + x = 0
24 + 19x = 6 + 0
24 + 19x = 6

Add '-24' to each side of the equation.
24 + -24 + 19x = 6 + -24

Combine like terms: 24 + -24 = 0
0 + 19x = 6 + -24
19x = 6 + -24

Combine like terms: 6 + -24 = -18
19x = -18

Divide each side by '19'.
x = -0.9473684211

Simplifying
x = -0.9473684211

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