5+3(x-8)=7-3(x-2)

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Solution for 5+3(x-8)=7-3(x-2) equation:


Simplifying
5 + 3(x + -8) = 7 + -3(x + -2)

Reorder the terms:
5 + 3(-8 + x) = 7 + -3(x + -2)
5 + (-8 * 3 + x * 3) = 7 + -3(x + -2)
5 + (-24 + 3x) = 7 + -3(x + -2)

Combine like terms: 5 + -24 = -19
-19 + 3x = 7 + -3(x + -2)

Reorder the terms:
-19 + 3x = 7 + -3(-2 + x)
-19 + 3x = 7 + (-2 * -3 + x * -3)
-19 + 3x = 7 + (6 + -3x)

Combine like terms: 7 + 6 = 13
-19 + 3x = 13 + -3x

Solving
-19 + 3x = 13 + -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.
-19 + 3x + 3x = 13 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-19 + 6x = 13 + -3x + 3x

Combine like terms: -3x + 3x = 0
-19 + 6x = 13 + 0
-19 + 6x = 13

Add '19' to each side of the equation.
-19 + 19 + 6x = 13 + 19

Combine like terms: -19 + 19 = 0
0 + 6x = 13 + 19
6x = 13 + 19

Combine like terms: 13 + 19 = 32
6x = 32

Divide each side by '6'.
x = 5.333333333

Simplifying
x = 5.333333333

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