4x-7=8x+.5

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Solution for 4x-7=8x+.5 equation:


Simplifying
4x + -7 = 8x + 0.5

Reorder the terms:
-7 + 4x = 8x + 0.5

Reorder the terms:
-7 + 4x = 0.5 + 8x

Solving
-7 + 4x = 0.5 + 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 + 4x + -8x = 0.5 + 8x + -8x

Combine like terms: 4x + -8x = -4x
-7 + -4x = 0.5 + 8x + -8x

Combine like terms: 8x + -8x = 0
-7 + -4x = 0.5 + 0
-7 + -4x = 0.5

Add '7' to each side of the equation.
-7 + 7 + -4x = 0.5 + 7

Combine like terms: -7 + 7 = 0
0 + -4x = 0.5 + 7
-4x = 0.5 + 7

Combine like terms: 0.5 + 7 = 7.5
-4x = 7.5

Divide each side by '-4'.
x = -1.875

Simplifying
x = -1.875

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