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

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


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

Reorder the terms:
-2(5 + x) + 3 = 8(x + 3) + 6
(5 * -2 + x * -2) + 3 = 8(x + 3) + 6
(-10 + -2x) + 3 = 8(x + 3) + 6

Reorder the terms:
-10 + 3 + -2x = 8(x + 3) + 6

Combine like terms: -10 + 3 = -7
-7 + -2x = 8(x + 3) + 6

Reorder the terms:
-7 + -2x = 8(3 + x) + 6
-7 + -2x = (3 * 8 + x * 8) + 6
-7 + -2x = (24 + 8x) + 6

Reorder the terms:
-7 + -2x = 24 + 6 + 8x

Combine like terms: 24 + 6 = 30
-7 + -2x = 30 + 8x

Solving
-7 + -2x = 30 + 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.
-7 + -2x + -8x = 30 + 8x + -8x

Combine like terms: -2x + -8x = -10x
-7 + -10x = 30 + 8x + -8x

Combine like terms: 8x + -8x = 0
-7 + -10x = 30 + 0
-7 + -10x = 30

Add '7' to each side of the equation.
-7 + 7 + -10x = 30 + 7

Combine like terms: -7 + 7 = 0
0 + -10x = 30 + 7
-10x = 30 + 7

Combine like terms: 30 + 7 = 37
-10x = 37

Divide each side by '-10'.
x = -3.7

Simplifying
x = -3.7

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