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

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


Simplifying
3(x + -4) + 5 = 2(-1x + 8)

Reorder the terms:
3(-4 + x) + 5 = 2(-1x + 8)
(-4 * 3 + x * 3) + 5 = 2(-1x + 8)
(-12 + 3x) + 5 = 2(-1x + 8)

Reorder the terms:
-12 + 5 + 3x = 2(-1x + 8)

Combine like terms: -12 + 5 = -7
-7 + 3x = 2(-1x + 8)

Reorder the terms:
-7 + 3x = 2(8 + -1x)
-7 + 3x = (8 * 2 + -1x * 2)
-7 + 3x = (16 + -2x)

Solving
-7 + 3x = 16 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-7 + 3x + 2x = 16 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-7 + 5x = 16 + -2x + 2x

Combine like terms: -2x + 2x = 0
-7 + 5x = 16 + 0
-7 + 5x = 16

Add '7' to each side of the equation.
-7 + 7 + 5x = 16 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = 16 + 7
5x = 16 + 7

Combine like terms: 16 + 7 = 23
5x = 23

Divide each side by '5'.
x = 4.6

Simplifying
x = 4.6

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