6x-7=8x-15

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Solution for 6x-7=8x-15 equation:


Simplifying
6x + -7 = 8x + -15

Reorder the terms:
-7 + 6x = 8x + -15

Reorder the terms:
-7 + 6x = -15 + 8x

Solving
-7 + 6x = -15 + 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.
-7 + 6x + -8x = -15 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-7 + -2x = -15 + 8x + -8x

Combine like terms: 8x + -8x = 0
-7 + -2x = -15 + 0
-7 + -2x = -15

Add '7' to each side of the equation.
-7 + 7 + -2x = -15 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = -15 + 7
-2x = -15 + 7

Combine like terms: -15 + 7 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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