4(x+2)+5(x-6)=58

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Solution for 4(x+2)+5(x-6)=58 equation:


Simplifying
4(x + 2) + 5(x + -6) = 58

Reorder the terms:
4(2 + x) + 5(x + -6) = 58
(2 * 4 + x * 4) + 5(x + -6) = 58
(8 + 4x) + 5(x + -6) = 58

Reorder the terms:
8 + 4x + 5(-6 + x) = 58
8 + 4x + (-6 * 5 + x * 5) = 58
8 + 4x + (-30 + 5x) = 58

Reorder the terms:
8 + -30 + 4x + 5x = 58

Combine like terms: 8 + -30 = -22
-22 + 4x + 5x = 58

Combine like terms: 4x + 5x = 9x
-22 + 9x = 58

Solving
-22 + 9x = 58

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 9x = 58 + 22

Combine like terms: -22 + 22 = 0
0 + 9x = 58 + 22
9x = 58 + 22

Combine like terms: 58 + 22 = 80
9x = 80

Divide each side by '9'.
x = 8.888888889

Simplifying
x = 8.888888889

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