4(6x+1)=43+3(4x+3)

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Solution for 4(6x+1)=43+3(4x+3) equation:


Simplifying
4(6x + 1) = 43 + 3(4x + 3)

Reorder the terms:
4(1 + 6x) = 43 + 3(4x + 3)
(1 * 4 + 6x * 4) = 43 + 3(4x + 3)
(4 + 24x) = 43 + 3(4x + 3)

Reorder the terms:
4 + 24x = 43 + 3(3 + 4x)
4 + 24x = 43 + (3 * 3 + 4x * 3)
4 + 24x = 43 + (9 + 12x)

Combine like terms: 43 + 9 = 52
4 + 24x = 52 + 12x

Solving
4 + 24x = 52 + 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.
4 + 24x + -12x = 52 + 12x + -12x

Combine like terms: 24x + -12x = 12x
4 + 12x = 52 + 12x + -12x

Combine like terms: 12x + -12x = 0
4 + 12x = 52 + 0
4 + 12x = 52

Add '-4' to each side of the equation.
4 + -4 + 12x = 52 + -4

Combine like terms: 4 + -4 = 0
0 + 12x = 52 + -4
12x = 52 + -4

Combine like terms: 52 + -4 = 48
12x = 48

Divide each side by '12'.
x = 4

Simplifying
x = 4

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