7(2x+1)+6(3x+4)=31

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Solution for 7(2x+1)+6(3x+4)=31 equation:


Simplifying
7(2x + 1) + 6(3x + 4) = 31

Reorder the terms:
7(1 + 2x) + 6(3x + 4) = 31
(1 * 7 + 2x * 7) + 6(3x + 4) = 31
(7 + 14x) + 6(3x + 4) = 31

Reorder the terms:
7 + 14x + 6(4 + 3x) = 31
7 + 14x + (4 * 6 + 3x * 6) = 31
7 + 14x + (24 + 18x) = 31

Reorder the terms:
7 + 24 + 14x + 18x = 31

Combine like terms: 7 + 24 = 31
31 + 14x + 18x = 31

Combine like terms: 14x + 18x = 32x
31 + 32x = 31

Add '-31' to each side of the equation.
31 + -31 + 32x = 31 + -31

Combine like terms: 31 + -31 = 0
0 + 32x = 31 + -31
32x = 31 + -31

Combine like terms: 31 + -31 = 0
32x = 0

Solving
32x = 0

Solving for variable 'x'.

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

Divide each side by '32'.
x = 0

Simplifying
x = 0

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