2(5x-11)=3(4x+5)

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Solution for 2(5x-11)=3(4x+5) equation:


Simplifying
2(5x + -11) = 3(4x + 5)

Reorder the terms:
2(-11 + 5x) = 3(4x + 5)
(-11 * 2 + 5x * 2) = 3(4x + 5)
(-22 + 10x) = 3(4x + 5)

Reorder the terms:
-22 + 10x = 3(5 + 4x)
-22 + 10x = (5 * 3 + 4x * 3)
-22 + 10x = (15 + 12x)

Solving
-22 + 10x = 15 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-22 + 10x + -12x = 15 + 12x + -12x

Combine like terms: 10x + -12x = -2x
-22 + -2x = 15 + 12x + -12x

Combine like terms: 12x + -12x = 0
-22 + -2x = 15 + 0
-22 + -2x = 15

Add '22' to each side of the equation.
-22 + 22 + -2x = 15 + 22

Combine like terms: -22 + 22 = 0
0 + -2x = 15 + 22
-2x = 15 + 22

Combine like terms: 15 + 22 = 37
-2x = 37

Divide each side by '-2'.
x = -18.5

Simplifying
x = -18.5

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