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

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


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

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

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

Combine like terms: -6 + 3 = -3
-3 + -2x = 8(x + 5) + 4

Reorder the terms:
-3 + -2x = 8(5 + x) + 4
-3 + -2x = (5 * 8 + x * 8) + 4
-3 + -2x = (40 + 8x) + 4

Reorder the terms:
-3 + -2x = 40 + 4 + 8x

Combine like terms: 40 + 4 = 44
-3 + -2x = 44 + 8x

Solving
-3 + -2x = 44 + 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.
-3 + -2x + -8x = 44 + 8x + -8x

Combine like terms: -2x + -8x = -10x
-3 + -10x = 44 + 8x + -8x

Combine like terms: 8x + -8x = 0
-3 + -10x = 44 + 0
-3 + -10x = 44

Add '3' to each side of the equation.
-3 + 3 + -10x = 44 + 3

Combine like terms: -3 + 3 = 0
0 + -10x = 44 + 3
-10x = 44 + 3

Combine like terms: 44 + 3 = 47
-10x = 47

Divide each side by '-10'.
x = -4.7

Simplifying
x = -4.7

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