3(5-2x)-8=24-5(2x+1)

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Solution for 3(5-2x)-8=24-5(2x+1) equation:


Simplifying
3(5 + -2x) + -8 = 24 + -5(2x + 1)
(5 * 3 + -2x * 3) + -8 = 24 + -5(2x + 1)
(15 + -6x) + -8 = 24 + -5(2x + 1)

Reorder the terms:
15 + -8 + -6x = 24 + -5(2x + 1)

Combine like terms: 15 + -8 = 7
7 + -6x = 24 + -5(2x + 1)

Reorder the terms:
7 + -6x = 24 + -5(1 + 2x)
7 + -6x = 24 + (1 * -5 + 2x * -5)
7 + -6x = 24 + (-5 + -10x)

Combine like terms: 24 + -5 = 19
7 + -6x = 19 + -10x

Solving
7 + -6x = 19 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
7 + -6x + 10x = 19 + -10x + 10x

Combine like terms: -6x + 10x = 4x
7 + 4x = 19 + -10x + 10x

Combine like terms: -10x + 10x = 0
7 + 4x = 19 + 0
7 + 4x = 19

Add '-7' to each side of the equation.
7 + -7 + 4x = 19 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = 19 + -7
4x = 19 + -7

Combine like terms: 19 + -7 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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