6(3x+4)=7x+3

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


Simplifying
6(3x + 4) = 7x + 3

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

Reorder the terms:
24 + 18x = 3 + 7x

Solving
24 + 18x = 3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
24 + 18x + -7x = 3 + 7x + -7x

Combine like terms: 18x + -7x = 11x
24 + 11x = 3 + 7x + -7x

Combine like terms: 7x + -7x = 0
24 + 11x = 3 + 0
24 + 11x = 3

Add '-24' to each side of the equation.
24 + -24 + 11x = 3 + -24

Combine like terms: 24 + -24 = 0
0 + 11x = 3 + -24
11x = 3 + -24

Combine like terms: 3 + -24 = -21
11x = -21

Divide each side by '11'.
x = -1.909090909

Simplifying
x = -1.909090909

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