-7(x-7)=3x-11

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


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

Reorder the terms:
-7(-7 + x) = 3x + -11
(-7 * -7 + x * -7) = 3x + -11
(49 + -7x) = 3x + -11

Reorder the terms:
49 + -7x = -11 + 3x

Solving
49 + -7x = -11 + 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.
49 + -7x + -3x = -11 + 3x + -3x

Combine like terms: -7x + -3x = -10x
49 + -10x = -11 + 3x + -3x

Combine like terms: 3x + -3x = 0
49 + -10x = -11 + 0
49 + -10x = -11

Add '-49' to each side of the equation.
49 + -49 + -10x = -11 + -49

Combine like terms: 49 + -49 = 0
0 + -10x = -11 + -49
-10x = -11 + -49

Combine like terms: -11 + -49 = -60
-10x = -60

Divide each side by '-10'.
x = 6

Simplifying
x = 6

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