3(x+1)=7(x-1)-10

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Solution for 3(x+1)=7(x-1)-10 equation: 


Simplifying
3(x + 1) = 7(x + -1) + -10

Reorder the terms:
3(1 + x) = 7(x + -1) + -10
(1 * 3 + x * 3) = 7(x + -1) + -10
(3 + 3x) = 7(x + -1) + -10

Reorder the terms:
3 + 3x = 7(-1 + x) + -10
3 + 3x = (-1 * 7 + x * 7) + -10
3 + 3x = (-7 + 7x) + -10

Reorder the terms:
3 + 3x = -7 + -10 + 7x

Combine like terms: -7 + -10 = -17
3 + 3x = -17 + 7x

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

Combine like terms: 3x + -7x = -4x
3 + -4x = -17 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -4x = -17 + 0
3 + -4x = -17

Add '-3' to each side of the equation.
3 + -3 + -4x = -17 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = -17 + -3
-4x = -17 + -3

Combine like terms: -17 + -3 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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