6x+5(x-7)=19-(x+6)

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Solution for 6x+5(x-7)=19-(x+6) equation:


Simplifying
6x + 5(x + -7) = 19 + -1(x + 6)

Reorder the terms:
6x + 5(-7 + x) = 19 + -1(x + 6)
6x + (-7 * 5 + x * 5) = 19 + -1(x + 6)
6x + (-35 + 5x) = 19 + -1(x + 6)

Reorder the terms:
-35 + 6x + 5x = 19 + -1(x + 6)

Combine like terms: 6x + 5x = 11x
-35 + 11x = 19 + -1(x + 6)

Reorder the terms:
-35 + 11x = 19 + -1(6 + x)
-35 + 11x = 19 + (6 * -1 + x * -1)
-35 + 11x = 19 + (-6 + -1x)

Combine like terms: 19 + -6 = 13
-35 + 11x = 13 + -1x

Solving
-35 + 11x = 13 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-35 + 11x + x = 13 + -1x + x

Combine like terms: 11x + x = 12x
-35 + 12x = 13 + -1x + x

Combine like terms: -1x + x = 0
-35 + 12x = 13 + 0
-35 + 12x = 13

Add '35' to each side of the equation.
-35 + 35 + 12x = 13 + 35

Combine like terms: -35 + 35 = 0
0 + 12x = 13 + 35
12x = 13 + 35

Combine like terms: 13 + 35 = 48
12x = 48

Divide each side by '12'.
x = 4

Simplifying
x = 4

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