-2(x+5)+3=8(x+3)+7

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Solution for -2(x+5)+3=8(x+3)+7 equation:


Simplifying
-2(x + 5) + 3 = 8(x + 3) + 7

Reorder the terms:
-2(5 + x) + 3 = 8(x + 3) + 7
(5 * -2 + x * -2) + 3 = 8(x + 3) + 7
(-10 + -2x) + 3 = 8(x + 3) + 7

Reorder the terms:
-10 + 3 + -2x = 8(x + 3) + 7

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

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

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

Combine like terms: 24 + 7 = 31
-7 + -2x = 31 + 8x

Solving
-7 + -2x = 31 + 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 = 31 + 8x + -8x

Combine like terms: -2x + -8x = -10x
-7 + -10x = 31 + 8x + -8x

Combine like terms: 8x + -8x = 0
-7 + -10x = 31 + 0
-7 + -10x = 31

Add '7' to each side of the equation.
-7 + 7 + -10x = 31 + 7

Combine like terms: -7 + 7 = 0
0 + -10x = 31 + 7
-10x = 31 + 7

Combine like terms: 31 + 7 = 38
-10x = 38

Divide each side by '-10'.
x = -3.8

Simplifying
x = -3.8

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