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

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


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

Reorder the terms:
4(6 + x) + 3 = 6(x + 2) + 3
(6 * 4 + x * 4) + 3 = 6(x + 2) + 3
(24 + 4x) + 3 = 6(x + 2) + 3

Reorder the terms:
24 + 3 + 4x = 6(x + 2) + 3

Combine like terms: 24 + 3 = 27
27 + 4x = 6(x + 2) + 3

Reorder the terms:
27 + 4x = 6(2 + x) + 3
27 + 4x = (2 * 6 + x * 6) + 3
27 + 4x = (12 + 6x) + 3

Reorder the terms:
27 + 4x = 12 + 3 + 6x

Combine like terms: 12 + 3 = 15
27 + 4x = 15 + 6x

Solving
27 + 4x = 15 + 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.
27 + 4x + -6x = 15 + 6x + -6x

Combine like terms: 4x + -6x = -2x
27 + -2x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
27 + -2x = 15 + 0
27 + -2x = 15

Add '-27' to each side of the equation.
27 + -27 + -2x = 15 + -27

Combine like terms: 27 + -27 = 0
0 + -2x = 15 + -27
-2x = 15 + -27

Combine like terms: 15 + -27 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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