8(x-3)=-4(x+4)+25

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Solution for 8(x-3)=-4(x+4)+25 equation:


Simplifying
8(x + -3) = -4(x + 4) + 25

Reorder the terms:
8(-3 + x) = -4(x + 4) + 25
(-3 * 8 + x * 8) = -4(x + 4) + 25
(-24 + 8x) = -4(x + 4) + 25

Reorder the terms:
-24 + 8x = -4(4 + x) + 25
-24 + 8x = (4 * -4 + x * -4) + 25
-24 + 8x = (-16 + -4x) + 25

Reorder the terms:
-24 + 8x = -16 + 25 + -4x

Combine like terms: -16 + 25 = 9
-24 + 8x = 9 + -4x

Solving
-24 + 8x = 9 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-24 + 8x + 4x = 9 + -4x + 4x

Combine like terms: 8x + 4x = 12x
-24 + 12x = 9 + -4x + 4x

Combine like terms: -4x + 4x = 0
-24 + 12x = 9 + 0
-24 + 12x = 9

Add '24' to each side of the equation.
-24 + 24 + 12x = 9 + 24

Combine like terms: -24 + 24 = 0
0 + 12x = 9 + 24
12x = 9 + 24

Combine like terms: 9 + 24 = 33
12x = 33

Divide each side by '12'.
x = 2.75

Simplifying
x = 2.75

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