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

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


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

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

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

Combine like terms: -8 + 5 = -3
-3 + 2x = -8(x + 2) + 7

Reorder the terms:
-3 + 2x = -8(2 + x) + 7
-3 + 2x = (2 * -8 + x * -8) + 7
-3 + 2x = (-16 + -8x) + 7

Reorder the terms:
-3 + 2x = -16 + 7 + -8x

Combine like terms: -16 + 7 = -9
-3 + 2x = -9 + -8x

Solving
-3 + 2x = -9 + -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 = -9 + -8x + 8x

Combine like terms: 2x + 8x = 10x
-3 + 10x = -9 + -8x + 8x

Combine like terms: -8x + 8x = 0
-3 + 10x = -9 + 0
-3 + 10x = -9

Add '3' to each side of the equation.
-3 + 3 + 10x = -9 + 3

Combine like terms: -3 + 3 = 0
0 + 10x = -9 + 3
10x = -9 + 3

Combine like terms: -9 + 3 = -6
10x = -6

Divide each side by '10'.
x = -0.6

Simplifying
x = -0.6

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