7(2x+4)-3(x+5)=24

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Solution for 7(2x+4)-3(x+5)=24 equation: 


Simplifying
7(2x + 4) + -3(x + 5) = 24

Reorder the terms:
7(4 + 2x) + -3(x + 5) = 24
(4 * 7 + 2x * 7) + -3(x + 5) = 24
(28 + 14x) + -3(x + 5) = 24

Reorder the terms:
28 + 14x + -3(5 + x) = 24
28 + 14x + (5 * -3 + x * -3) = 24
28 + 14x + (-15 + -3x) = 24

Reorder the terms:
28 + -15 + 14x + -3x = 24

Combine like terms: 28 + -15 = 13
13 + 14x + -3x = 24

Combine like terms: 14x + -3x = 11x
13 + 11x = 24

Solving
13 + 11x = 24

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 11x = 24 + -13

Combine like terms: 13 + -13 = 0
0 + 11x = 24 + -13
11x = 24 + -13

Combine like terms: 24 + -13 = 11
11x = 11

Divide each side by '11'.
x = 1

Simplifying
x = 1

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