3(x+7)+4(2x+3)=300

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Solution for 3(x+7)+4(2x+3)=300 equation: 


Simplifying
3(x + 7) + 4(2x + 3) = 300

Reorder the terms:
3(7 + x) + 4(2x + 3) = 300
(7 * 3 + x * 3) + 4(2x + 3) = 300
(21 + 3x) + 4(2x + 3) = 300

Reorder the terms:
21 + 3x + 4(3 + 2x) = 300
21 + 3x + (3 * 4 + 2x * 4) = 300
21 + 3x + (12 + 8x) = 300

Reorder the terms:
21 + 12 + 3x + 8x = 300

Combine like terms: 21 + 12 = 33
33 + 3x + 8x = 300

Combine like terms: 3x + 8x = 11x
33 + 11x = 300

Solving
33 + 11x = 300

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + 11x = 300 + -33

Combine like terms: 33 + -33 = 0
0 + 11x = 300 + -33
11x = 300 + -33

Combine like terms: 300 + -33 = 267
11x = 267

Divide each side by '11'.
x = 24.27272727

Simplifying
x = 24.27272727

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