3(x+1)=7(x-2)-9

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Solution for 3(x+1)=7(x-2)-9 equation:


Simplifying
3(x + 1) = 7(x + -2) + -9

Reorder the terms:
3(1 + x) = 7(x + -2) + -9
(1 * 3 + x * 3) = 7(x + -2) + -9
(3 + 3x) = 7(x + -2) + -9

Reorder the terms:
3 + 3x = 7(-2 + x) + -9
3 + 3x = (-2 * 7 + x * 7) + -9
3 + 3x = (-14 + 7x) + -9

Reorder the terms:
3 + 3x = -14 + -9 + 7x

Combine like terms: -14 + -9 = -23
3 + 3x = -23 + 7x

Solving
3 + 3x = -23 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3 + 3x + -7x = -23 + 7x + -7x

Combine like terms: 3x + -7x = -4x
3 + -4x = -23 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -4x = -23 + 0
3 + -4x = -23

Add '-3' to each side of the equation.
3 + -3 + -4x = -23 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = -23 + -3
-4x = -23 + -3

Combine like terms: -23 + -3 = -26
-4x = -26

Divide each side by '-4'.
x = 6.5

Simplifying
x = 6.5

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