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

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


Simplifying
(x + -5) * 3 = 24 + (5 + -1x) * 4

Reorder the terms:
(-5 + x) * 3 = 24 + (5 + -1x) * 4

Reorder the terms for easier multiplication:
3(-5 + x) = 24 + (5 + -1x) * 4
(-5 * 3 + x * 3) = 24 + (5 + -1x) * 4
(-15 + 3x) = 24 + (5 + -1x) * 4

Reorder the terms for easier multiplication:
-15 + 3x = 24 + 4(5 + -1x)
-15 + 3x = 24 + (5 * 4 + -1x * 4)
-15 + 3x = 24 + (20 + -4x)

Combine like terms: 24 + 20 = 44
-15 + 3x = 44 + -4x

Solving
-15 + 3x = 44 + -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.
-15 + 3x + 4x = 44 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-15 + 7x = 44 + -4x + 4x

Combine like terms: -4x + 4x = 0
-15 + 7x = 44 + 0
-15 + 7x = 44

Add '15' to each side of the equation.
-15 + 15 + 7x = 44 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = 44 + 15
7x = 44 + 15

Combine like terms: 44 + 15 = 59
7x = 59

Divide each side by '7'.
x = 8.428571429

Simplifying
x = 8.428571429

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