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

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


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

Reorder the terms:
4x + 3(3 + x) = 6(x + 1) + 3
4x + (3 * 3 + x * 3) = 6(x + 1) + 3
4x + (9 + 3x) = 6(x + 1) + 3

Reorder the terms:
9 + 4x + 3x = 6(x + 1) + 3

Combine like terms: 4x + 3x = 7x
9 + 7x = 6(x + 1) + 3

Reorder the terms:
9 + 7x = 6(1 + x) + 3
9 + 7x = (1 * 6 + x * 6) + 3
9 + 7x = (6 + 6x) + 3

Reorder the terms:
9 + 7x = 6 + 3 + 6x

Combine like terms: 6 + 3 = 9
9 + 7x = 9 + 6x

Add '-9' to each side of the equation.
9 + -9 + 7x = 9 + -9 + 6x

Combine like terms: 9 + -9 = 0
0 + 7x = 9 + -9 + 6x
7x = 9 + -9 + 6x

Combine like terms: 9 + -9 = 0
7x = 0 + 6x
7x = 6x

Solving
7x = 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.
7x + -6x = 6x + -6x

Combine like terms: 7x + -6x = 1x
1x = 6x + -6x

Combine like terms: 6x + -6x = 0
1x = 0

Divide each side by '1'.
x = 0

Simplifying
x = 0

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