4(x+9)-3(x-16)=24

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Solution for 4(x+9)-3(x-16)=24 equation:


Simplifying
4(x + 9) + -3(x + -16) = 24

Reorder the terms:
4(9 + x) + -3(x + -16) = 24
(9 * 4 + x * 4) + -3(x + -16) = 24
(36 + 4x) + -3(x + -16) = 24

Reorder the terms:
36 + 4x + -3(-16 + x) = 24
36 + 4x + (-16 * -3 + x * -3) = 24
36 + 4x + (48 + -3x) = 24

Reorder the terms:
36 + 48 + 4x + -3x = 24

Combine like terms: 36 + 48 = 84
84 + 4x + -3x = 24

Combine like terms: 4x + -3x = 1x
84 + 1x = 24

Solving
84 + 1x = 24

Solving for variable 'x'.

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

Add '-84' to each side of the equation.
84 + -84 + 1x = 24 + -84

Combine like terms: 84 + -84 = 0
0 + 1x = 24 + -84
1x = 24 + -84

Combine like terms: 24 + -84 = -60
1x = -60

Divide each side by '1'.
x = -60

Simplifying
x = -60

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