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

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


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

Reorder the terms:
5(-7 + 3x) = 24 + -4(x + 5)
(-7 * 5 + 3x * 5) = 24 + -4(x + 5)
(-35 + 15x) = 24 + -4(x + 5)

Reorder the terms:
-35 + 15x = 24 + -4(5 + x)
-35 + 15x = 24 + (5 * -4 + x * -4)
-35 + 15x = 24 + (-20 + -4x)

Combine like terms: 24 + -20 = 4
-35 + 15x = 4 + -4x

Solving
-35 + 15x = 4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-35 + 15x + 4x = 4 + -4x + 4x

Combine like terms: 15x + 4x = 19x
-35 + 19x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
-35 + 19x = 4 + 0
-35 + 19x = 4

Add '35' to each side of the equation.
-35 + 35 + 19x = 4 + 35

Combine like terms: -35 + 35 = 0
0 + 19x = 4 + 35
19x = 4 + 35

Combine like terms: 4 + 35 = 39
19x = 39

Divide each side by '19'.
x = 2.052631579

Simplifying
x = 2.052631579

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