6(3x+18)+5(x+20)=300

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Solution for 6(3x+18)+5(x+20)=300 equation:


Simplifying
6(3x + 18) + 5(x + 20) = 300

Reorder the terms:
6(18 + 3x) + 5(x + 20) = 300
(18 * 6 + 3x * 6) + 5(x + 20) = 300
(108 + 18x) + 5(x + 20) = 300

Reorder the terms:
108 + 18x + 5(20 + x) = 300
108 + 18x + (20 * 5 + x * 5) = 300
108 + 18x + (100 + 5x) = 300

Reorder the terms:
108 + 100 + 18x + 5x = 300

Combine like terms: 108 + 100 = 208
208 + 18x + 5x = 300

Combine like terms: 18x + 5x = 23x
208 + 23x = 300

Solving
208 + 23x = 300

Solving for variable 'x'.

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

Add '-208' to each side of the equation.
208 + -208 + 23x = 300 + -208

Combine like terms: 208 + -208 = 0
0 + 23x = 300 + -208
23x = 300 + -208

Combine like terms: 300 + -208 = 92
23x = 92

Divide each side by '23'.
x = 4

Simplifying
x = 4

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