3x-1(x+7)=23-3(x+2)

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Solution for 3x-1(x+7)=23-3(x+2) equation:


Simplifying
3x + -1(x + 7) = 23 + -3(x + 2)

Reorder the terms:
3x + -1(7 + x) = 23 + -3(x + 2)
3x + (7 * -1 + x * -1) = 23 + -3(x + 2)
3x + (-7 + -1x) = 23 + -3(x + 2)

Reorder the terms:
-7 + 3x + -1x = 23 + -3(x + 2)

Combine like terms: 3x + -1x = 2x
-7 + 2x = 23 + -3(x + 2)

Reorder the terms:
-7 + 2x = 23 + -3(2 + x)
-7 + 2x = 23 + (2 * -3 + x * -3)
-7 + 2x = 23 + (-6 + -3x)

Combine like terms: 23 + -6 = 17
-7 + 2x = 17 + -3x

Solving
-7 + 2x = 17 + -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.
-7 + 2x + 3x = 17 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-7 + 5x = 17 + -3x + 3x

Combine like terms: -3x + 3x = 0
-7 + 5x = 17 + 0
-7 + 5x = 17

Add '7' to each side of the equation.
-7 + 7 + 5x = 17 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = 17 + 7
5x = 17 + 7

Combine like terms: 17 + 7 = 24
5x = 24

Divide each side by '5'.
x = 4.8

Simplifying
x = 4.8

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