7(4x+8)=13-(x+2)

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Solution for 7(4x+8)=13-(x+2) equation:


Simplifying
7(4x + 8) = 13 + -1(x + 2)

Reorder the terms:
7(8 + 4x) = 13 + -1(x + 2)
(8 * 7 + 4x * 7) = 13 + -1(x + 2)
(56 + 28x) = 13 + -1(x + 2)

Reorder the terms:
56 + 28x = 13 + -1(2 + x)
56 + 28x = 13 + (2 * -1 + x * -1)
56 + 28x = 13 + (-2 + -1x)

Combine like terms: 13 + -2 = 11
56 + 28x = 11 + -1x

Solving
56 + 28x = 11 + -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.
56 + 28x + x = 11 + -1x + x

Combine like terms: 28x + x = 29x
56 + 29x = 11 + -1x + x

Combine like terms: -1x + x = 0
56 + 29x = 11 + 0
56 + 29x = 11

Add '-56' to each side of the equation.
56 + -56 + 29x = 11 + -56

Combine like terms: 56 + -56 = 0
0 + 29x = 11 + -56
29x = 11 + -56

Combine like terms: 11 + -56 = -45
29x = -45

Divide each side by '29'.
x = -1.551724138

Simplifying
x = -1.551724138

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