3x-7=.5x+3

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Solution for 3x-7=.5x+3 equation:


Simplifying
3x + -7 = 0.5x + 3

Reorder the terms:
-7 + 3x = 0.5x + 3

Reorder the terms:
-7 + 3x = 3 + 0.5x

Solving
-7 + 3x = 3 + 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.
-7 + 3x + -0.5x = 3 + 0.5x + -0.5x

Combine like terms: 3x + -0.5x = 2.5x
-7 + 2.5x = 3 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-7 + 2.5x = 3 + 0.0
-7 + 2.5x = 3

Add '7' to each side of the equation.
-7 + 7 + 2.5x = 3 + 7

Combine like terms: -7 + 7 = 0
0 + 2.5x = 3 + 7
2.5x = 3 + 7

Combine like terms: 3 + 7 = 10
2.5x = 10

Divide each side by '2.5'.
x = 4

Simplifying
x = 4

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