4(x-3)=-5x+24

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Solution for 4(x-3)=-5x+24 equation:


Simplifying
4(x + -3) = -5x + 24

Reorder the terms:
4(-3 + x) = -5x + 24
(-3 * 4 + x * 4) = -5x + 24
(-12 + 4x) = -5x + 24

Reorder the terms:
-12 + 4x = 24 + -5x

Solving
-12 + 4x = 24 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-12 + 4x + 5x = 24 + -5x + 5x

Combine like terms: 4x + 5x = 9x
-12 + 9x = 24 + -5x + 5x

Combine like terms: -5x + 5x = 0
-12 + 9x = 24 + 0
-12 + 9x = 24

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

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

Combine like terms: 24 + 12 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4

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