3x+2-4x+5=6x-8

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Solution for 3x+2-4x+5=6x-8 equation:


Simplifying
3x + 2 + -4x + 5 = 6x + -8

Reorder the terms:
2 + 5 + 3x + -4x = 6x + -8

Combine like terms: 2 + 5 = 7
7 + 3x + -4x = 6x + -8

Combine like terms: 3x + -4x = -1x
7 + -1x = 6x + -8

Reorder the terms:
7 + -1x = -8 + 6x

Solving
7 + -1x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
7 + -1x + -6x = -8 + 6x + -6x

Combine like terms: -1x + -6x = -7x
7 + -7x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
7 + -7x = -8 + 0
7 + -7x = -8

Add '-7' to each side of the equation.
7 + -7 + -7x = -8 + -7

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

Combine like terms: -8 + -7 = -15
-7x = -15

Divide each side by '-7'.
x = 2.142857143

Simplifying
x = 2.142857143

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