6x-8x+5=3(x+2)-5

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Solution for 6x-8x+5=3(x+2)-5 equation:


Simplifying
6x + -8x + 5 = 3(x + 2) + -5

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

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

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

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

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

Solving
5 + -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.
5 + -2x + -3x = 1 + 3x + -3x

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

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

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

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

Combine like terms: 1 + -5 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8

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