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

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


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

Reorder the terms:
2(-3 + 4x) = 3(5x + 2)
(-3 * 2 + 4x * 2) = 3(5x + 2)
(-6 + 8x) = 3(5x + 2)

Reorder the terms:
-6 + 8x = 3(2 + 5x)
-6 + 8x = (2 * 3 + 5x * 3)
-6 + 8x = (6 + 15x)

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

Combine like terms: 8x + -15x = -7x
-6 + -7x = 6 + 15x + -15x

Combine like terms: 15x + -15x = 0
-6 + -7x = 6 + 0
-6 + -7x = 6

Add '6' to each side of the equation.
-6 + 6 + -7x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -7x = 6 + 6
-7x = 6 + 6

Combine like terms: 6 + 6 = 12
-7x = 12

Divide each side by '-7'.
x = -1.714285714

Simplifying
x = -1.714285714

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