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

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


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

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

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

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

Combine like terms: -6 + 5 = -1
-8 + 2x = -1 + -3x

Solving
-8 + 2x = -1 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-8 + 2x + 3x = -1 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-8 + 5x = -1 + -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 5x = -1 + 0
-8 + 5x = -1

Add '8' to each side of the equation.
-8 + 8 + 5x = -1 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = -1 + 8
5x = -1 + 8

Combine like terms: -1 + 8 = 7
5x = 7

Divide each side by '5'.
x = 1.4

Simplifying
x = 1.4

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