11-7(x+7)=8x-5

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Solution for 11-7(x+7)=8x-5 equation:


Simplifying
11 + -7(x + 7) = 8x + -5

Reorder the terms:
11 + -7(7 + x) = 8x + -5
11 + (7 * -7 + x * -7) = 8x + -5
11 + (-49 + -7x) = 8x + -5

Combine like terms: 11 + -49 = -38
-38 + -7x = 8x + -5

Reorder the terms:
-38 + -7x = -5 + 8x

Solving
-38 + -7x = -5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-38 + -7x + -8x = -5 + 8x + -8x

Combine like terms: -7x + -8x = -15x
-38 + -15x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
-38 + -15x = -5 + 0
-38 + -15x = -5

Add '38' to each side of the equation.
-38 + 38 + -15x = -5 + 38

Combine like terms: -38 + 38 = 0
0 + -15x = -5 + 38
-15x = -5 + 38

Combine like terms: -5 + 38 = 33
-15x = 33

Divide each side by '-15'.
x = -2.2

Simplifying
x = -2.2

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