3(7x+8)+6(4x+9)=213

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Solution for 3(7x+8)+6(4x+9)=213 equation:


Simplifying
3(7x + 8) + 6(4x + 9) = 213

Reorder the terms:
3(8 + 7x) + 6(4x + 9) = 213
(8 * 3 + 7x * 3) + 6(4x + 9) = 213
(24 + 21x) + 6(4x + 9) = 213

Reorder the terms:
24 + 21x + 6(9 + 4x) = 213
24 + 21x + (9 * 6 + 4x * 6) = 213
24 + 21x + (54 + 24x) = 213

Reorder the terms:
24 + 54 + 21x + 24x = 213

Combine like terms: 24 + 54 = 78
78 + 21x + 24x = 213

Combine like terms: 21x + 24x = 45x
78 + 45x = 213

Solving
78 + 45x = 213

Solving for variable 'x'.

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

Add '-78' to each side of the equation.
78 + -78 + 45x = 213 + -78

Combine like terms: 78 + -78 = 0
0 + 45x = 213 + -78
45x = 213 + -78

Combine like terms: 213 + -78 = 135
45x = 135

Divide each side by '45'.
x = 3

Simplifying
x = 3

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