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

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


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

Reorder the terms:
-3(3 + 4x) + 4(6x + 1) = 43 + 4x
(3 * -3 + 4x * -3) + 4(6x + 1) = 43 + 4x
(-9 + -12x) + 4(6x + 1) = 43 + 4x

Reorder the terms:
-9 + -12x + 4(1 + 6x) = 43 + 4x
-9 + -12x + (1 * 4 + 6x * 4) = 43 + 4x
-9 + -12x + (4 + 24x) = 43 + 4x

Reorder the terms:
-9 + 4 + -12x + 24x = 43 + 4x

Combine like terms: -9 + 4 = -5
-5 + -12x + 24x = 43 + 4x

Combine like terms: -12x + 24x = 12x
-5 + 12x = 43 + 4x

Solving
-5 + 12x = 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.
-5 + 12x + -4x = 43 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-5 + 8x = 43 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + 8x = 43 + 0
-5 + 8x = 43

Add '5' to each side of the equation.
-5 + 5 + 8x = 43 + 5

Combine like terms: -5 + 5 = 0
0 + 8x = 43 + 5
8x = 43 + 5

Combine like terms: 43 + 5 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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