4(3x+3)+3(2x+1)=4x+43

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Solution for 4(3x+3)+3(2x+1)=4x+43 equation:


Simplifying
4(3x + 3) + 3(2x + 1) = 4x + 43

Reorder the terms:
4(3 + 3x) + 3(2x + 1) = 4x + 43
(3 * 4 + 3x * 4) + 3(2x + 1) = 4x + 43
(12 + 12x) + 3(2x + 1) = 4x + 43

Reorder the terms:
12 + 12x + 3(1 + 2x) = 4x + 43
12 + 12x + (1 * 3 + 2x * 3) = 4x + 43
12 + 12x + (3 + 6x) = 4x + 43

Reorder the terms:
12 + 3 + 12x + 6x = 4x + 43

Combine like terms: 12 + 3 = 15
15 + 12x + 6x = 4x + 43

Combine like terms: 12x + 6x = 18x
15 + 18x = 4x + 43

Reorder the terms:
15 + 18x = 43 + 4x

Solving
15 + 18x = 43 + 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.
15 + 18x + -4x = 43 + 4x + -4x

Combine like terms: 18x + -4x = 14x
15 + 14x = 43 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + 14x = 43 + 0
15 + 14x = 43

Add '-15' to each side of the equation.
15 + -15 + 14x = 43 + -15

Combine like terms: 15 + -15 = 0
0 + 14x = 43 + -15
14x = 43 + -15

Combine like terms: 43 + -15 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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