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

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


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

Reorder the terms:
(7 + 4x) + (3x + 2) + (2x + 3) = 4(3x)

Remove parenthesis around (7 + 4x)
7 + 4x + (3x + 2) + (2x + 3) = 4(3x)

Reorder the terms:
7 + 4x + (2 + 3x) + (2x + 3) = 4(3x)

Remove parenthesis around (2 + 3x)
7 + 4x + 2 + 3x + (2x + 3) = 4(3x)

Reorder the terms:
7 + 4x + 2 + 3x + (3 + 2x) = 4(3x)

Remove parenthesis around (3 + 2x)
7 + 4x + 2 + 3x + 3 + 2x = 4(3x)

Reorder the terms:
7 + 2 + 3 + 4x + 3x + 2x = 4(3x)

Combine like terms: 7 + 2 = 9
9 + 3 + 4x + 3x + 2x = 4(3x)

Combine like terms: 9 + 3 = 12
12 + 4x + 3x + 2x = 4(3x)

Combine like terms: 4x + 3x = 7x
12 + 7x + 2x = 4(3x)

Combine like terms: 7x + 2x = 9x
12 + 9x = 4(3x)

Remove parenthesis around (3x)
12 + 9x = 4 * 3x

Multiply 4 * 3
12 + 9x = 12x

Solving
12 + 9x = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
12 + 9x + -12x = 12x + -12x

Combine like terms: 9x + -12x = -3x
12 + -3x = 12x + -12x

Combine like terms: 12x + -12x = 0
12 + -3x = 0

Add '-12' to each side of the equation.
12 + -12 + -3x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = 0 + -12
-3x = 0 + -12

Combine like terms: 0 + -12 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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