5(4x-2)+3(x+1)=39

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Solution for 5(4x-2)+3(x+1)=39 equation:


Simplifying
5(4x + -2) + 3(x + 1) = 39

Reorder the terms:
5(-2 + 4x) + 3(x + 1) = 39
(-2 * 5 + 4x * 5) + 3(x + 1) = 39
(-10 + 20x) + 3(x + 1) = 39

Reorder the terms:
-10 + 20x + 3(1 + x) = 39
-10 + 20x + (1 * 3 + x * 3) = 39
-10 + 20x + (3 + 3x) = 39

Reorder the terms:
-10 + 3 + 20x + 3x = 39

Combine like terms: -10 + 3 = -7
-7 + 20x + 3x = 39

Combine like terms: 20x + 3x = 23x
-7 + 23x = 39

Solving
-7 + 23x = 39

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 23x = 39 + 7

Combine like terms: -7 + 7 = 0
0 + 23x = 39 + 7
23x = 39 + 7

Combine like terms: 39 + 7 = 46
23x = 46

Divide each side by '23'.
x = 2

Simplifying
x = 2

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