4(6x-7)+5=-24x+33

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Solution for 4(6x-7)+5=-24x+33 equation:


Simplifying
4(6x + -7) + 5 = -24x + 33

Reorder the terms:
4(-7 + 6x) + 5 = -24x + 33
(-7 * 4 + 6x * 4) + 5 = -24x + 33
(-28 + 24x) + 5 = -24x + 33

Reorder the terms:
-28 + 5 + 24x = -24x + 33

Combine like terms: -28 + 5 = -23
-23 + 24x = -24x + 33

Reorder the terms:
-23 + 24x = 33 + -24x

Solving
-23 + 24x = 33 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
-23 + 24x + 24x = 33 + -24x + 24x

Combine like terms: 24x + 24x = 48x
-23 + 48x = 33 + -24x + 24x

Combine like terms: -24x + 24x = 0
-23 + 48x = 33 + 0
-23 + 48x = 33

Add '23' to each side of the equation.
-23 + 23 + 48x = 33 + 23

Combine like terms: -23 + 23 = 0
0 + 48x = 33 + 23
48x = 33 + 23

Combine like terms: 33 + 23 = 56
48x = 56

Divide each side by '48'.
x = 1.166666667

Simplifying
x = 1.166666667

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