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

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


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

Reorder the terms:
6(3 + 2x) = 7x + 4
(3 * 6 + 2x * 6) = 7x + 4
(18 + 12x) = 7x + 4

Reorder the terms:
18 + 12x = 4 + 7x

Solving
18 + 12x = 4 + 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.
18 + 12x + -7x = 4 + 7x + -7x

Combine like terms: 12x + -7x = 5x
18 + 5x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0
18 + 5x = 4 + 0
18 + 5x = 4

Add '-18' to each side of the equation.
18 + -18 + 5x = 4 + -18

Combine like terms: 18 + -18 = 0
0 + 5x = 4 + -18
5x = 4 + -18

Combine like terms: 4 + -18 = -14
5x = -14

Divide each side by '5'.
x = -2.8

Simplifying
x = -2.8

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