0.25(x+2)=4x-8(2-x)-7

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Solution for 0.25(x+2)=4x-8(2-x)-7 equation:


Simplifying
0.25(x + 2) = 4x + -8(2 + -1x) + -7

Reorder the terms:
0.25(2 + x) = 4x + -8(2 + -1x) + -7
(2 * 0.25 + x * 0.25) = 4x + -8(2 + -1x) + -7
(0.5 + 0.25x) = 4x + -8(2 + -1x) + -7
0.5 + 0.25x = 4x + (2 * -8 + -1x * -8) + -7
0.5 + 0.25x = 4x + (-16 + 8x) + -7

Reorder the terms:
0.5 + 0.25x = -16 + -7 + 4x + 8x

Combine like terms: -16 + -7 = -23
0.5 + 0.25x = -23 + 4x + 8x

Combine like terms: 4x + 8x = 12x
0.5 + 0.25x = -23 + 12x

Solving
0.5 + 0.25x = -23 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
0.5 + 0.25x + -12x = -23 + 12x + -12x

Combine like terms: 0.25x + -12x = -11.75x
0.5 + -11.75x = -23 + 12x + -12x

Combine like terms: 12x + -12x = 0
0.5 + -11.75x = -23 + 0
0.5 + -11.75x = -23

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -11.75x = -23 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -11.75x = -23 + -0.5
-11.75x = -23 + -0.5

Combine like terms: -23 + -0.5 = -23.5
-11.75x = -23.5

Divide each side by '-11.75'.
x = 2

Simplifying
x = 2

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