=0.5(x+4)+1.5(x-3)

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Solution for =0.5(x+4)+1.5(x-3) equation:


Simplifying
0 = 0.5(x + 4) + 1.5(x + -3)

Reorder the terms:
0 = 0.5(4 + x) + 1.5(x + -3)
0 = (4 * 0.5 + x * 0.5) + 1.5(x + -3)
0 = (2 + 0.5x) + 1.5(x + -3)

Reorder the terms:
0 = 2 + 0.5x + 1.5(-3 + x)
0 = 2 + 0.5x + (-3 * 1.5 + x * 1.5)
0 = 2 + 0.5x + (-4.5 + 1.5x)

Reorder the terms:
0 = 2 + -4.5 + 0.5x + 1.5x

Combine like terms: 2 + -4.5 = -2.5
0 = -2.5 + 0.5x + 1.5x

Combine like terms: 0.5x + 1.5x = 2x
0 = -2.5 + 2x

Solving
0 = -2.5 + 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 + -2x = -2.5 + 2x + -2x
Remove the zero:
-2x = -2.5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2x = -2.5 + 0
-2x = -2.5

Divide each side by '-2'.
x = 1.25

Simplifying
x = 1.25

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