2x-7=8x-4

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Solution for 2x-7=8x-4 equation:


Simplifying
2x + -7 = 8x + -4

Reorder the terms:
-7 + 2x = 8x + -4

Reorder the terms:
-7 + 2x = -4 + 8x

Solving
-7 + 2x = -4 + 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 + 2x + -8x = -4 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
-7 + -6x = -4 + 0
-7 + -6x = -4

Add '7' to each side of the equation.
-7 + 7 + -6x = -4 + 7

Combine like terms: -7 + 7 = 0
0 + -6x = -4 + 7
-6x = -4 + 7

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

Divide each side by '-6'.
x = -0.5

Simplifying
x = -0.5

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