-3(4x+3)+4(5x+1)=43

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Solution for -3(4x+3)+4(5x+1)=43 equation:


Simplifying
-3(4x + 3) + 4(5x + 1) = 43

Reorder the terms:
-3(3 + 4x) + 4(5x + 1) = 43
(3 * -3 + 4x * -3) + 4(5x + 1) = 43
(-9 + -12x) + 4(5x + 1) = 43

Reorder the terms:
-9 + -12x + 4(1 + 5x) = 43
-9 + -12x + (1 * 4 + 5x * 4) = 43
-9 + -12x + (4 + 20x) = 43

Reorder the terms:
-9 + 4 + -12x + 20x = 43

Combine like terms: -9 + 4 = -5
-5 + -12x + 20x = 43

Combine like terms: -12x + 20x = 8x
-5 + 8x = 43

Solving
-5 + 8x = 43

Solving for variable 'x'.

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

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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