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

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


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

Reorder the terms:
2(-3 + x) = 5(4 + -3x)
(-3 * 2 + x * 2) = 5(4 + -3x)
(-6 + 2x) = 5(4 + -3x)
-6 + 2x = (4 * 5 + -3x * 5)
-6 + 2x = (20 + -15x)

Solving
-6 + 2x = 20 + -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 + 2x + 15x = 20 + -15x + 15x

Combine like terms: 2x + 15x = 17x
-6 + 17x = 20 + -15x + 15x

Combine like terms: -15x + 15x = 0
-6 + 17x = 20 + 0
-6 + 17x = 20

Add '6' to each side of the equation.
-6 + 6 + 17x = 20 + 6

Combine like terms: -6 + 6 = 0
0 + 17x = 20 + 6
17x = 20 + 6

Combine like terms: 20 + 6 = 26
17x = 26

Divide each side by '17'.
x = 1.529411765

Simplifying
x = 1.529411765

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