-2(x+3)+5=8(x+4)+6

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Solution for -2(x+3)+5=8(x+4)+6 equation:


Simplifying
-2(x + 3) + 5 = 8(x + 4) + 6

Reorder the terms:
-2(3 + x) + 5 = 8(x + 4) + 6
(3 * -2 + x * -2) + 5 = 8(x + 4) + 6
(-6 + -2x) + 5 = 8(x + 4) + 6

Reorder the terms:
-6 + 5 + -2x = 8(x + 4) + 6

Combine like terms: -6 + 5 = -1
-1 + -2x = 8(x + 4) + 6

Reorder the terms:
-1 + -2x = 8(4 + x) + 6
-1 + -2x = (4 * 8 + x * 8) + 6
-1 + -2x = (32 + 8x) + 6

Reorder the terms:
-1 + -2x = 32 + 6 + 8x

Combine like terms: 32 + 6 = 38
-1 + -2x = 38 + 8x

Solving
-1 + -2x = 38 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-1 + -2x + -8x = 38 + 8x + -8x

Combine like terms: -2x + -8x = -10x
-1 + -10x = 38 + 8x + -8x

Combine like terms: 8x + -8x = 0
-1 + -10x = 38 + 0
-1 + -10x = 38

Add '1' to each side of the equation.
-1 + 1 + -10x = 38 + 1

Combine like terms: -1 + 1 = 0
0 + -10x = 38 + 1
-10x = 38 + 1

Combine like terms: 38 + 1 = 39
-10x = 39

Divide each side by '-10'.
x = -3.9

Simplifying
x = -3.9

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