5+11(x-7)=-3(1+4x)

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Solution for 5+11(x-7)=-3(1+4x) equation:


Simplifying
5 + 11(x + -7) = -3(1 + 4x)

Reorder the terms:
5 + 11(-7 + x) = -3(1 + 4x)
5 + (-7 * 11 + x * 11) = -3(1 + 4x)
5 + (-77 + 11x) = -3(1 + 4x)

Combine like terms: 5 + -77 = -72
-72 + 11x = -3(1 + 4x)
-72 + 11x = (1 * -3 + 4x * -3)
-72 + 11x = (-3 + -12x)

Solving
-72 + 11x = -3 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-72 + 11x + 12x = -3 + -12x + 12x

Combine like terms: 11x + 12x = 23x
-72 + 23x = -3 + -12x + 12x

Combine like terms: -12x + 12x = 0
-72 + 23x = -3 + 0
-72 + 23x = -3

Add '72' to each side of the equation.
-72 + 72 + 23x = -3 + 72

Combine like terms: -72 + 72 = 0
0 + 23x = -3 + 72
23x = -3 + 72

Combine like terms: -3 + 72 = 69
23x = 69

Divide each side by '23'.
x = 3

Simplifying
x = 3

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