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

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


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

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

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

Remove parenthesis around (7 + 4x)
18 + 12x = 7 + 4x

Solving
18 + 12x = 7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
18 + 12x + -4x = 7 + 4x + -4x

Combine like terms: 12x + -4x = 8x
18 + 8x = 7 + 4x + -4x

Combine like terms: 4x + -4x = 0
18 + 8x = 7 + 0
18 + 8x = 7

Add '-18' to each side of the equation.
18 + -18 + 8x = 7 + -18

Combine like terms: 18 + -18 = 0
0 + 8x = 7 + -18
8x = 7 + -18

Combine like terms: 7 + -18 = -11
8x = -11

Divide each side by '8'.
x = -1.375

Simplifying
x = -1.375

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