1-0.5(x+3)=3+2(7-x)

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Solution for 1-0.5(x+3)=3+2(7-x) equation:


Simplifying
1 + -0.5(x + 3) = 3 + 2(7 + -1x)

Reorder the terms:
1 + -0.5(3 + x) = 3 + 2(7 + -1x)
1 + (3 * -0.5 + x * -0.5) = 3 + 2(7 + -1x)
1 + (-1.5 + -0.5x) = 3 + 2(7 + -1x)

Combine like terms: 1 + -1.5 = -0.5
-0.5 + -0.5x = 3 + 2(7 + -1x)
-0.5 + -0.5x = 3 + (7 * 2 + -1x * 2)
-0.5 + -0.5x = 3 + (14 + -2x)

Combine like terms: 3 + 14 = 17
-0.5 + -0.5x = 17 + -2x

Solving
-0.5 + -0.5x = 17 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-0.5 + -0.5x + 2x = 17 + -2x + 2x

Combine like terms: -0.5x + 2x = 1.5x
-0.5 + 1.5x = 17 + -2x + 2x

Combine like terms: -2x + 2x = 0
-0.5 + 1.5x = 17 + 0
-0.5 + 1.5x = 17

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 1.5x = 17 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 1.5x = 17 + 0.5
1.5x = 17 + 0.5

Combine like terms: 17 + 0.5 = 17.5
1.5x = 17.5

Divide each side by '1.5'.
x = 11.66666667

Simplifying
x = 11.66666667

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