5(x+4)-2(x-1)=43

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Solution for 5(x+4)-2(x-1)=43 equation: 


Simplifying
5(x + 4) + -2(x + -1) = 43

Reorder the terms:
5(4 + x) + -2(x + -1) = 43
(4 * 5 + x * 5) + -2(x + -1) = 43
(20 + 5x) + -2(x + -1) = 43

Reorder the terms:
20 + 5x + -2(-1 + x) = 43
20 + 5x + (-1 * -2 + x * -2) = 43
20 + 5x + (2 + -2x) = 43

Reorder the terms:
20 + 2 + 5x + -2x = 43

Combine like terms: 20 + 2 = 22
22 + 5x + -2x = 43

Combine like terms: 5x + -2x = 3x
22 + 3x = 43

Solving
22 + 3x = 43

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + 3x = 43 + -22

Combine like terms: 22 + -22 = 0
0 + 3x = 43 + -22
3x = 43 + -22

Combine like terms: 43 + -22 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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