x-2(x+2)+3(5x)=30

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Solution for x-2(x+2)+3(5x)=30 equation:


Simplifying
x + -2(x + 2) + 3(5x) = 30

Reorder the terms:
x + -2(2 + x) + 3(5x) = 30
x + (2 * -2 + x * -2) + 3(5x) = 30
x + (-4 + -2x) + 3(5x) = 30

Remove parenthesis around (5x)
x + -4 + -2x + 3 * 5x = 30

Multiply 3 * 5
x + -4 + -2x + 15x = 30

Reorder the terms:
-4 + x + -2x + 15x = 30

Combine like terms: x + -2x = -1x
-4 + -1x + 15x = 30

Combine like terms: -1x + 15x = 14x
-4 + 14x = 30

Solving
-4 + 14x = 30

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 14x = 30 + 4

Combine like terms: -4 + 4 = 0
0 + 14x = 30 + 4
14x = 30 + 4

Combine like terms: 30 + 4 = 34
14x = 34

Divide each side by '14'.
x = 2.428571429

Simplifying
x = 2.428571429

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