7x-4=0.5x-x+35

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Solution for 7x-4=0.5x-x+35 equation:


Simplifying
7x + -4 = 0.5x + -1x + 35

Reorder the terms:
-4 + 7x = 0.5x + -1x + 35

Reorder the terms:
-4 + 7x = 35 + 0.5x + -1x

Combine like terms: 0.5x + -1x = -0.5x
-4 + 7x = 35 + -0.5x

Solving
-4 + 7x = 35 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
-4 + 7x + 0.5x = 35 + -0.5x + 0.5x

Combine like terms: 7x + 0.5x = 7.5x
-4 + 7.5x = 35 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-4 + 7.5x = 35 + 0.0
-4 + 7.5x = 35

Add '4' to each side of the equation.
-4 + 4 + 7.5x = 35 + 4

Combine like terms: -4 + 4 = 0
0 + 7.5x = 35 + 4
7.5x = 35 + 4

Combine like terms: 35 + 4 = 39
7.5x = 39

Divide each side by '7.5'.
x = 5.2

Simplifying
x = 5.2

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