2x-3+3(5x-7)=47

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Solution for 2x-3+3(5x-7)=47 equation:


Simplifying
2x + -3 + 3(5x + -7) = 47

Reorder the terms:
2x + -3 + 3(-7 + 5x) = 47
2x + -3 + (-7 * 3 + 5x * 3) = 47
2x + -3 + (-21 + 15x) = 47

Reorder the terms:
-3 + -21 + 2x + 15x = 47

Combine like terms: -3 + -21 = -24
-24 + 2x + 15x = 47

Combine like terms: 2x + 15x = 17x
-24 + 17x = 47

Solving
-24 + 17x = 47

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 17x = 47 + 24

Combine like terms: -24 + 24 = 0
0 + 17x = 47 + 24
17x = 47 + 24

Combine like terms: 47 + 24 = 71
17x = 71

Divide each side by '17'.
x = 4.176470588

Simplifying
x = 4.176470588

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