6(x-3)-10=-3x-53

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Solution for 6(x-3)-10=-3x-53 equation:


Simplifying
6(x + -3) + -10 = -3x + -53

Reorder the terms:
6(-3 + x) + -10 = -3x + -53
(-3 * 6 + x * 6) + -10 = -3x + -53
(-18 + 6x) + -10 = -3x + -53

Reorder the terms:
-18 + -10 + 6x = -3x + -53

Combine like terms: -18 + -10 = -28
-28 + 6x = -3x + -53

Reorder the terms:
-28 + 6x = -53 + -3x

Solving
-28 + 6x = -53 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-28 + 6x + 3x = -53 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-28 + 9x = -53 + -3x + 3x

Combine like terms: -3x + 3x = 0
-28 + 9x = -53 + 0
-28 + 9x = -53

Add '28' to each side of the equation.
-28 + 28 + 9x = -53 + 28

Combine like terms: -28 + 28 = 0
0 + 9x = -53 + 28
9x = -53 + 28

Combine like terms: -53 + 28 = -25
9x = -25

Divide each side by '9'.
x = -2.777777778

Simplifying
x = -2.777777778

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