0.5(7x-1)=(3x+1)

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Solution for 0.5(7x-1)=(3x+1) equation:


Simplifying
0.5(7x + -1) = (3x + 1)

Reorder the terms:
0.5(-1 + 7x) = (3x + 1)
(-1 * 0.5 + 7x * 0.5) = (3x + 1)
(-0.5 + 3.5x) = (3x + 1)

Reorder the terms:
-0.5 + 3.5x = (1 + 3x)

Remove parenthesis around (1 + 3x)
-0.5 + 3.5x = 1 + 3x

Solving
-0.5 + 3.5x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-0.5 + 3.5x + -3x = 1 + 3x + -3x

Combine like terms: 3.5x + -3x = 0.5x
-0.5 + 0.5x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-0.5 + 0.5x = 1 + 0
-0.5 + 0.5x = 1

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 0.5x = 1 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.5x = 1 + 0.5
0.5x = 1 + 0.5

Combine like terms: 1 + 0.5 = 1.5
0.5x = 1.5

Divide each side by '0.5'.
x = 3

Simplifying
x = 3

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