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

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


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

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

Reorder the terms:
-24 + 8x = -3(-4 + x)
-24 + 8x = (-4 * -3 + x * -3)
-24 + 8x = (12 + -3x)

Solving
-24 + 8x = 12 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-24 + 8x + 3x = 12 + -3x + 3x

Combine like terms: 8x + 3x = 11x
-24 + 11x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
-24 + 11x = 12 + 0
-24 + 11x = 12

Add '24' to each side of the equation.
-24 + 24 + 11x = 12 + 24

Combine like terms: -24 + 24 = 0
0 + 11x = 12 + 24
11x = 12 + 24

Combine like terms: 12 + 24 = 36
11x = 36

Divide each side by '11'.
x = 3.272727273

Simplifying
x = 3.272727273

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