8(x-3)=-3x+53

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Solution for 8(x-3)=-3x+53 equation:


Simplifying
8(x + -3) = -3x + 53

Reorder the terms:
8(-3 + x) = -3x + 53
(-3 * 8 + x * 8) = -3x + 53
(-24 + 8x) = -3x + 53

Reorder the terms:
-24 + 8x = 53 + -3x

Solving
-24 + 8x = 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.
-24 + 8x + 3x = 53 + -3x + 3x

Combine like terms: 8x + 3x = 11x
-24 + 11x = 53 + -3x + 3x

Combine like terms: -3x + 3x = 0
-24 + 11x = 53 + 0
-24 + 11x = 53

Add '24' to each side of the equation.
-24 + 24 + 11x = 53 + 24

Combine like terms: -24 + 24 = 0
0 + 11x = 53 + 24
11x = 53 + 24

Combine like terms: 53 + 24 = 77
11x = 77

Divide each side by '11'.
x = 7

Simplifying
x = 7

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