7(1-7x)-11=5(-9x+12)

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Solution for 7(1-7x)-11=5(-9x+12) equation:


Simplifying
7(1 + -7x) + -11 = 5(-9x + 12)
(1 * 7 + -7x * 7) + -11 = 5(-9x + 12)
(7 + -49x) + -11 = 5(-9x + 12)

Reorder the terms:
7 + -11 + -49x = 5(-9x + 12)

Combine like terms: 7 + -11 = -4
-4 + -49x = 5(-9x + 12)

Reorder the terms:
-4 + -49x = 5(12 + -9x)
-4 + -49x = (12 * 5 + -9x * 5)
-4 + -49x = (60 + -45x)

Solving
-4 + -49x = 60 + -45x

Solving for variable 'x'.

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

Add '45x' to each side of the equation.
-4 + -49x + 45x = 60 + -45x + 45x

Combine like terms: -49x + 45x = -4x
-4 + -4x = 60 + -45x + 45x

Combine like terms: -45x + 45x = 0
-4 + -4x = 60 + 0
-4 + -4x = 60

Add '4' to each side of the equation.
-4 + 4 + -4x = 60 + 4

Combine like terms: -4 + 4 = 0
0 + -4x = 60 + 4
-4x = 60 + 4

Combine like terms: 60 + 4 = 64
-4x = 64

Divide each side by '-4'.
x = -16

Simplifying
x = -16

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