3(x-4)+7=3+x-24

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Solution for 3(x-4)+7=3+x-24 equation:


Simplifying
3(x + -4) + 7 = 3 + x + -24

Reorder the terms:
3(-4 + x) + 7 = 3 + x + -24
(-4 * 3 + x * 3) + 7 = 3 + x + -24
(-12 + 3x) + 7 = 3 + x + -24

Reorder the terms:
-12 + 7 + 3x = 3 + x + -24

Combine like terms: -12 + 7 = -5
-5 + 3x = 3 + x + -24

Reorder the terms:
-5 + 3x = 3 + -24 + x

Combine like terms: 3 + -24 = -21
-5 + 3x = -21 + x

Solving
-5 + 3x = -21 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-5 + 3x + -1x = -21 + x + -1x

Combine like terms: 3x + -1x = 2x
-5 + 2x = -21 + x + -1x

Combine like terms: x + -1x = 0
-5 + 2x = -21 + 0
-5 + 2x = -21

Add '5' to each side of the equation.
-5 + 5 + 2x = -21 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = -21 + 5
2x = -21 + 5

Combine like terms: -21 + 5 = -16
2x = -16

Divide each side by '2'.
x = -8

Simplifying
x = -8

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