5(x+4)+4(x-1)=106

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Solution for 5(x+4)+4(x-1)=106 equation:


Simplifying
5(x + 4) + 4(x + -1) = 106

Reorder the terms:
5(4 + x) + 4(x + -1) = 106
(4 * 5 + x * 5) + 4(x + -1) = 106
(20 + 5x) + 4(x + -1) = 106

Reorder the terms:
20 + 5x + 4(-1 + x) = 106
20 + 5x + (-1 * 4 + x * 4) = 106
20 + 5x + (-4 + 4x) = 106

Reorder the terms:
20 + -4 + 5x + 4x = 106

Combine like terms: 20 + -4 = 16
16 + 5x + 4x = 106

Combine like terms: 5x + 4x = 9x
16 + 9x = 106

Solving
16 + 9x = 106

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 9x = 106 + -16

Combine like terms: 16 + -16 = 0
0 + 9x = 106 + -16
9x = 106 + -16

Combine like terms: 106 + -16 = 90
9x = 90

Divide each side by '9'.
x = 10

Simplifying
x = 10

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