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

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


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

Reorder the terms:
3(5 + x) = 14(2x + -3)
(5 * 3 + x * 3) = 14(2x + -3)
(15 + 3x) = 14(2x + -3)

Reorder the terms:
15 + 3x = 14(-3 + 2x)
15 + 3x = (-3 * 14 + 2x * 14)
15 + 3x = (-42 + 28x)

Solving
15 + 3x = -42 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
15 + 3x + -28x = -42 + 28x + -28x

Combine like terms: 3x + -28x = -25x
15 + -25x = -42 + 28x + -28x

Combine like terms: 28x + -28x = 0
15 + -25x = -42 + 0
15 + -25x = -42

Add '-15' to each side of the equation.
15 + -15 + -25x = -42 + -15

Combine like terms: 15 + -15 = 0
0 + -25x = -42 + -15
-25x = -42 + -15

Combine like terms: -42 + -15 = -57
-25x = -57

Divide each side by '-25'.
x = 2.28

Simplifying
x = 2.28

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