8(x-6)+5=3x-3

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Solution for 8(x-6)+5=3x-3 equation:


Simplifying
8(x + -6) + 5 = 3x + -3

Reorder the terms:
8(-6 + x) + 5 = 3x + -3
(-6 * 8 + x * 8) + 5 = 3x + -3
(-48 + 8x) + 5 = 3x + -3

Reorder the terms:
-48 + 5 + 8x = 3x + -3

Combine like terms: -48 + 5 = -43
-43 + 8x = 3x + -3

Reorder the terms:
-43 + 8x = -3 + 3x

Solving
-43 + 8x = -3 + 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.
-43 + 8x + -3x = -3 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-43 + 5x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-43 + 5x = -3 + 0
-43 + 5x = -3

Add '43' to each side of the equation.
-43 + 43 + 5x = -3 + 43

Combine like terms: -43 + 43 = 0
0 + 5x = -3 + 43
5x = -3 + 43

Combine like terms: -3 + 43 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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