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

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


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

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

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

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

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

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

Add '-7' to each side of the equation.
7 + -7 + 4x = -3 + -7

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

Combine like terms: -3 + -7 = -10
4x = -10

Divide each side by '4'.
x = -2.5

Simplifying
x = -2.5

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