(4x-7)+(7x-33)=59

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Solution for (4x-7)+(7x-33)=59 equation:


Simplifying
(4x + -7) + (7x + -33) = 59

Reorder the terms:
(-7 + 4x) + (7x + -33) = 59

Remove parenthesis around (-7 + 4x)
-7 + 4x + (7x + -33) = 59

Reorder the terms:
-7 + 4x + (-33 + 7x) = 59

Remove parenthesis around (-33 + 7x)
-7 + 4x + -33 + 7x = 59

Reorder the terms:
-7 + -33 + 4x + 7x = 59

Combine like terms: -7 + -33 = -40
-40 + 4x + 7x = 59

Combine like terms: 4x + 7x = 11x
-40 + 11x = 59

Solving
-40 + 11x = 59

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 40 + 11x = 59 + 40

Combine like terms: -40 + 40 = 0
0 + 11x = 59 + 40
11x = 59 + 40

Combine like terms: 59 + 40 = 99
11x = 99

Divide each side by '11'.
x = 9

Simplifying
x = 9

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