.5(x+8)+5=.25(8x+14)-7

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Solution for .5(x+8)+5=.25(8x+14)-7 equation:


Simplifying
0.5(x + 8) + 5 = 0.25(8x + 14) + -7

Reorder the terms:
0.5(8 + x) + 5 = 0.25(8x + 14) + -7
(8 * 0.5 + x * 0.5) + 5 = 0.25(8x + 14) + -7
(4 + 0.5x) + 5 = 0.25(8x + 14) + -7

Reorder the terms:
4 + 5 + 0.5x = 0.25(8x + 14) + -7

Combine like terms: 4 + 5 = 9
9 + 0.5x = 0.25(8x + 14) + -7

Reorder the terms:
9 + 0.5x = 0.25(14 + 8x) + -7
9 + 0.5x = (14 * 0.25 + 8x * 0.25) + -7
9 + 0.5x = (3.5 + 2x) + -7

Reorder the terms:
9 + 0.5x = 3.5 + -7 + 2x

Combine like terms: 3.5 + -7 = -3.5
9 + 0.5x = -3.5 + 2x

Solving
9 + 0.5x = -3.5 + 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.
9 + 0.5x + -2x = -3.5 + 2x + -2x

Combine like terms: 0.5x + -2x = -1.5x
9 + -1.5x = -3.5 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + -1.5x = -3.5 + 0
9 + -1.5x = -3.5

Add '-9' to each side of the equation.
9 + -9 + -1.5x = -3.5 + -9

Combine like terms: 9 + -9 = 0
0 + -1.5x = -3.5 + -9
-1.5x = -3.5 + -9

Combine like terms: -3.5 + -9 = -12.5
-1.5x = -12.5

Divide each side by '-1.5'.
x = 8.333333333

Simplifying
x = 8.333333333

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