(7x+3)-(4x+9)=24

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Solution for (7x+3)-(4x+9)=24 equation:


Simplifying
(7x + 3) + -1(4x + 9) = 24

Reorder the terms:
(3 + 7x) + -1(4x + 9) = 24

Remove parenthesis around (3 + 7x)
3 + 7x + -1(4x + 9) = 24

Reorder the terms:
3 + 7x + -1(9 + 4x) = 24
3 + 7x + (9 * -1 + 4x * -1) = 24
3 + 7x + (-9 + -4x) = 24

Reorder the terms:
3 + -9 + 7x + -4x = 24

Combine like terms: 3 + -9 = -6
-6 + 7x + -4x = 24

Combine like terms: 7x + -4x = 3x
-6 + 3x = 24

Solving
-6 + 3x = 24

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 3x = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 24 + 6
3x = 24 + 6

Combine like terms: 24 + 6 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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