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

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


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

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

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

Solving
-6 + 2x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + 2x + -5x = -20 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-6 + -3x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -3x = -20 + 0
-6 + -3x = -20

Add '6' to each side of the equation.
-6 + 6 + -3x = -20 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -20 + 6
-3x = -20 + 6

Combine like terms: -20 + 6 = -14
-3x = -14

Divide each side by '-3'.
x = 4.666666667

Simplifying
x = 4.666666667

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