11-7(x+1)=7-3(x+5)

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Solution for 11-7(x+1)=7-3(x+5) equation:


Simplifying
11 + -7(x + 1) = 7 + -3(x + 5)

Reorder the terms:
11 + -7(1 + x) = 7 + -3(x + 5)
11 + (1 * -7 + x * -7) = 7 + -3(x + 5)
11 + (-7 + -7x) = 7 + -3(x + 5)

Combine like terms: 11 + -7 = 4
4 + -7x = 7 + -3(x + 5)

Reorder the terms:
4 + -7x = 7 + -3(5 + x)
4 + -7x = 7 + (5 * -3 + x * -3)
4 + -7x = 7 + (-15 + -3x)

Combine like terms: 7 + -15 = -8
4 + -7x = -8 + -3x

Solving
4 + -7x = -8 + -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.
4 + -7x + 3x = -8 + -3x + 3x

Combine like terms: -7x + 3x = -4x
4 + -4x = -8 + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + -4x = -8 + 0
4 + -4x = -8

Add '-4' to each side of the equation.
4 + -4 + -4x = -8 + -4

Combine like terms: 4 + -4 = 0
0 + -4x = -8 + -4
-4x = -8 + -4

Combine like terms: -8 + -4 = -12
-4x = -12

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

Simplifying
x = 3

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