2(5x-1)=3(4x+3)

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Solution for 2(5x-1)=3(4x+3) equation:


Simplifying
2(5x + -1) = 3(4x + 3)

Reorder the terms:
2(-1 + 5x) = 3(4x + 3)
(-1 * 2 + 5x * 2) = 3(4x + 3)
(-2 + 10x) = 3(4x + 3)

Reorder the terms:
-2 + 10x = 3(3 + 4x)
-2 + 10x = (3 * 3 + 4x * 3)
-2 + 10x = (9 + 12x)

Solving
-2 + 10x = 9 + 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.
-2 + 10x + -12x = 9 + 12x + -12x

Combine like terms: 10x + -12x = -2x
-2 + -2x = 9 + 12x + -12x

Combine like terms: 12x + -12x = 0
-2 + -2x = 9 + 0
-2 + -2x = 9

Add '2' to each side of the equation.
-2 + 2 + -2x = 9 + 2

Combine like terms: -2 + 2 = 0
0 + -2x = 9 + 2
-2x = 9 + 2

Combine like terms: 9 + 2 = 11
-2x = 11

Divide each side by '-2'.
x = -5.5

Simplifying
x = -5.5

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