x-6(x+6)-19=2x+45

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Solution for x-6(x+6)-19=2x+45 equation:


Simplifying
x + -6(x + 6) + -19 = 2x + 45

Reorder the terms:
x + -6(6 + x) + -19 = 2x + 45
x + (6 * -6 + x * -6) + -19 = 2x + 45
x + (-36 + -6x) + -19 = 2x + 45

Reorder the terms:
-36 + -19 + x + -6x = 2x + 45

Combine like terms: -36 + -19 = -55
-55 + x + -6x = 2x + 45

Combine like terms: x + -6x = -5x
-55 + -5x = 2x + 45

Reorder the terms:
-55 + -5x = 45 + 2x

Solving
-55 + -5x = 45 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-55 + -5x + -2x = 45 + 2x + -2x

Combine like terms: -5x + -2x = -7x
-55 + -7x = 45 + 2x + -2x

Combine like terms: 2x + -2x = 0
-55 + -7x = 45 + 0
-55 + -7x = 45

Add '55' to each side of the equation.
-55 + 55 + -7x = 45 + 55

Combine like terms: -55 + 55 = 0
0 + -7x = 45 + 55
-7x = 45 + 55

Combine like terms: 45 + 55 = 100
-7x = 100

Divide each side by '-7'.
x = -14.28571429

Simplifying
x = -14.28571429

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