5(6x-18)-2(x-3)=-10

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Solution for 5(6x-18)-2(x-3)=-10 equation:


Simplifying
5(6x + -18) + -2(x + -3) = -10

Reorder the terms:
5(-18 + 6x) + -2(x + -3) = -10
(-18 * 5 + 6x * 5) + -2(x + -3) = -10
(-90 + 30x) + -2(x + -3) = -10

Reorder the terms:
-90 + 30x + -2(-3 + x) = -10
-90 + 30x + (-3 * -2 + x * -2) = -10
-90 + 30x + (6 + -2x) = -10

Reorder the terms:
-90 + 6 + 30x + -2x = -10

Combine like terms: -90 + 6 = -84
-84 + 30x + -2x = -10

Combine like terms: 30x + -2x = 28x
-84 + 28x = -10

Solving
-84 + 28x = -10

Solving for variable 'x'.

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

Add '84' to each side of the equation.
-84 + 84 + 28x = -10 + 84

Combine like terms: -84 + 84 = 0
0 + 28x = -10 + 84
28x = -10 + 84

Combine like terms: -10 + 84 = 74
28x = 74

Divide each side by '28'.
x = 2.642857143

Simplifying
x = 2.642857143

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