6x-4=8x+7

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Solution for 6x-4=8x+7 equation:


Simplifying
6x + -4 = 8x + 7

Reorder the terms:
-4 + 6x = 8x + 7

Reorder the terms:
-4 + 6x = 7 + 8x

Solving
-4 + 6x = 7 + 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.
-4 + 6x + -8x = 7 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
-4 + -2x = 7 + 0
-4 + -2x = 7

Add '4' to each side of the equation.
-4 + 4 + -2x = 7 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = 7 + 4
-2x = 7 + 4

Combine like terms: 7 + 4 = 11
-2x = 11

Divide each side by '-2'.
x = -5.5

Simplifying
x = -5.5

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