0.5x+3.5=1.33x-7

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Solution for 0.5x+3.5=1.33x-7 equation:


Simplifying
0.5x + 3.5 = 1.33x + -7

Reorder the terms:
3.5 + 0.5x = 1.33x + -7

Reorder the terms:
3.5 + 0.5x = -7 + 1.33x

Solving
3.5 + 0.5x = -7 + 1.33x

Solving for variable 'x'.

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

Add '-1.33x' to each side of the equation.
3.5 + 0.5x + -1.33x = -7 + 1.33x + -1.33x

Combine like terms: 0.5x + -1.33x = -0.83x
3.5 + -0.83x = -7 + 1.33x + -1.33x

Combine like terms: 1.33x + -1.33x = 0.00
3.5 + -0.83x = -7 + 0.00
3.5 + -0.83x = -7

Add '-3.5' to each side of the equation.
3.5 + -3.5 + -0.83x = -7 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -0.83x = -7 + -3.5
-0.83x = -7 + -3.5

Combine like terms: -7 + -3.5 = -10.5
-0.83x = -10.5

Divide each side by '-0.83'.
x = 12.65060241

Simplifying
x = 12.65060241

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