3x-10(2x)=5(3x)+14

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Solution for 3x-10(2x)=5(3x)+14 equation:


Simplifying
3x + -10(2x) = 5(3x) + 14

Remove parenthesis around (2x)
3x + -10 * 2x = 5(3x) + 14

Multiply -10 * 2
3x + -20x = 5(3x) + 14

Combine like terms: 3x + -20x = -17x
-17x = 5(3x) + 14

Remove parenthesis around (3x)
-17x = 5 * 3x + 14

Multiply 5 * 3
-17x = 15x + 14

Reorder the terms:
-17x = 14 + 15x

Solving
-17x = 14 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-17x + -15x = 14 + 15x + -15x

Combine like terms: -17x + -15x = -32x
-32x = 14 + 15x + -15x

Combine like terms: 15x + -15x = 0
-32x = 14 + 0
-32x = 14

Divide each side by '-32'.
x = -0.4375

Simplifying
x = -0.4375

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