4(x+1)=6(x+3)

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


Simplifying
4(x + 1) = 6(x + 3)

Reorder the terms:
4(1 + x) = 6(x + 3)
(1 * 4 + x * 4) = 6(x + 3)
(4 + 4x) = 6(x + 3)

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

Solving
4 + 4x = 18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + 4x + -6x = 18 + 6x + -6x

Combine like terms: 4x + -6x = -2x
4 + -2x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -2x = 18 + 0
4 + -2x = 18

Add '-4' to each side of the equation.
4 + -4 + -2x = 18 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = 18 + -4
-2x = 18 + -4

Combine like terms: 18 + -4 = 14
-2x = 14

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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