43=-5x+4(3x+2)

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Solution for 43=-5x+4(3x+2) equation:


Simplifying
43 = -5x + 4(3x + 2)

Reorder the terms:
43 = -5x + 4(2 + 3x)
43 = -5x + (2 * 4 + 3x * 4)
43 = -5x + (8 + 12x)

Reorder the terms:
43 = 8 + -5x + 12x

Combine like terms: -5x + 12x = 7x
43 = 8 + 7x

Solving
43 = 8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
43 + -7x = 8 + 7x + -7x

Combine like terms: 7x + -7x = 0
43 + -7x = 8 + 0
43 + -7x = 8

Add '-43' to each side of the equation.
43 + -43 + -7x = 8 + -43

Combine like terms: 43 + -43 = 0
0 + -7x = 8 + -43
-7x = 8 + -43

Combine like terms: 8 + -43 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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