5[x-4]=2[x-a]

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Solution for 5[x-4]=2[x-a] equation:


Simplifying
5[x + -4] = 2[x + -1a]

Reorder the terms:
5[-4 + x] = 2[x + -1a]
[-4 * 5 + x * 5] = 2[x + -1a]
[-20 + 5x] = 2[x + -1a]

Reorder the terms:
-20 + 5x = 2[-1a + x]
-20 + 5x = [-1a * 2 + x * 2]
-20 + 5x = [-2a + 2x]

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

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 0
-20 + 3x = -2a + 0
-20 + 3x = -2a

Add '20' to each side of the equation.
-20 + 20 + 3x = 20 + -2a

Combine like terms: -20 + 20 = 0
0 + 3x = 20 + -2a
3x = 20 + -2a

Divide each side by '3'.
x = 6.666666667 + -0.6666666667a

Simplifying
x = 6.666666667 + -0.6666666667a

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