-7(x+2)+8(x+4)=5

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Solution for -7(x+2)+8(x+4)=5 equation: 


Simplifying
-7(x + 2) + 8(x + 4) = 5

Reorder the terms:
-7(2 + x) + 8(x + 4) = 5
(2 * -7 + x * -7) + 8(x + 4) = 5
(-14 + -7x) + 8(x + 4) = 5

Reorder the terms:
-14 + -7x + 8(4 + x) = 5
-14 + -7x + (4 * 8 + x * 8) = 5
-14 + -7x + (32 + 8x) = 5

Reorder the terms:
-14 + 32 + -7x + 8x = 5

Combine like terms: -14 + 32 = 18
18 + -7x + 8x = 5

Combine like terms: -7x + 8x = 1x
18 + 1x = 5

Solving
18 + 1x = 5

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 1x = 5 + -18

Combine like terms: 18 + -18 = 0
0 + 1x = 5 + -18
1x = 5 + -18

Combine like terms: 5 + -18 = -13
1x = -13

Divide each side by '1'.
x = -13

Simplifying
x = -13

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