3(2x-5)=19-2(4x+5)

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Solution for 3(2x-5)=19-2(4x+5) equation:


Simplifying
3(2x + -5) = 19 + -2(4x + 5)

Reorder the terms:
3(-5 + 2x) = 19 + -2(4x + 5)
(-5 * 3 + 2x * 3) = 19 + -2(4x + 5)
(-15 + 6x) = 19 + -2(4x + 5)

Reorder the terms:
-15 + 6x = 19 + -2(5 + 4x)
-15 + 6x = 19 + (5 * -2 + 4x * -2)
-15 + 6x = 19 + (-10 + -8x)

Combine like terms: 19 + -10 = 9
-15 + 6x = 9 + -8x

Solving
-15 + 6x = 9 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-15 + 6x + 8x = 9 + -8x + 8x

Combine like terms: 6x + 8x = 14x
-15 + 14x = 9 + -8x + 8x

Combine like terms: -8x + 8x = 0
-15 + 14x = 9 + 0
-15 + 14x = 9

Add '15' to each side of the equation.
-15 + 15 + 14x = 9 + 15

Combine like terms: -15 + 15 = 0
0 + 14x = 9 + 15
14x = 9 + 15

Combine like terms: 9 + 15 = 24
14x = 24

Divide each side by '14'.
x = 1.714285714

Simplifying
x = 1.714285714

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