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

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


Simplifying
5(1 + -3x) + -1(x + 7) = 11
(1 * 5 + -3x * 5) + -1(x + 7) = 11
(5 + -15x) + -1(x + 7) = 11

Reorder the terms:
5 + -15x + -1(7 + x) = 11
5 + -15x + (7 * -1 + x * -1) = 11
5 + -15x + (-7 + -1x) = 11

Reorder the terms:
5 + -7 + -15x + -1x = 11

Combine like terms: 5 + -7 = -2
-2 + -15x + -1x = 11

Combine like terms: -15x + -1x = -16x
-2 + -16x = 11

Solving
-2 + -16x = 11

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + -16x = 11 + 2

Combine like terms: -2 + 2 = 0
0 + -16x = 11 + 2
-16x = 11 + 2

Combine like terms: 11 + 2 = 13
-16x = 13

Divide each side by '-16'.
x = -0.8125

Simplifying
x = -0.8125

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