5(x-1)=2(r-4)-6

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Solution for 5(x-1)=2(r-4)-6 equation:


Simplifying
5(x + -1) = 2(r + -4) + -6

Reorder the terms:
5(-1 + x) = 2(r + -4) + -6
(-1 * 5 + x * 5) = 2(r + -4) + -6
(-5 + 5x) = 2(r + -4) + -6

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

Reorder the terms:
-5 + 5x = -8 + -6 + 2r

Combine like terms: -8 + -6 = -14
-5 + 5x = -14 + 2r

Solving
-5 + 5x = -14 + 2r

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 5x = -14 + 5 + 2r

Combine like terms: -5 + 5 = 0
0 + 5x = -14 + 5 + 2r
5x = -14 + 5 + 2r

Combine like terms: -14 + 5 = -9
5x = -9 + 2r

Divide each side by '5'.
x = -1.8 + 0.4r

Simplifying
x = -1.8 + 0.4r

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