3x-5=7(x+1)

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Solution for 3x-5=7(x+1) equation:


Simplifying
3x + -5 = 7(x + 1)

Reorder the terms:
-5 + 3x = 7(x + 1)

Reorder the terms:
-5 + 3x = 7(1 + x)
-5 + 3x = (1 * 7 + x * 7)
-5 + 3x = (7 + 7x)

Solving
-5 + 3x = 7 + 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.
-5 + 3x + -7x = 7 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-5 + -4x = 7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-5 + -4x = 7 + 0
-5 + -4x = 7

Add '5' to each side of the equation.
-5 + 5 + -4x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = 7 + 5
-4x = 7 + 5

Combine like terms: 7 + 5 = 12
-4x = 12

Divide each side by '-4'.
x = -3

Simplifying
x = -3

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