-6(x+1)-x-10=7(x+5)+19

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Solution for -6(x+1)-x-10=7(x+5)+19 equation:


Simplifying
-6(x + 1) + -1x + -10 = 7(x + 5) + 19

Reorder the terms:
-6(1 + x) + -1x + -10 = 7(x + 5) + 19
(1 * -6 + x * -6) + -1x + -10 = 7(x + 5) + 19
(-6 + -6x) + -1x + -10 = 7(x + 5) + 19

Reorder the terms:
-6 + -10 + -6x + -1x = 7(x + 5) + 19

Combine like terms: -6 + -10 = -16
-16 + -6x + -1x = 7(x + 5) + 19

Combine like terms: -6x + -1x = -7x
-16 + -7x = 7(x + 5) + 19

Reorder the terms:
-16 + -7x = 7(5 + x) + 19
-16 + -7x = (5 * 7 + x * 7) + 19
-16 + -7x = (35 + 7x) + 19

Reorder the terms:
-16 + -7x = 35 + 19 + 7x

Combine like terms: 35 + 19 = 54
-16 + -7x = 54 + 7x

Solving
-16 + -7x = 54 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-16 + -7x + -7x = 54 + 7x + -7x

Combine like terms: -7x + -7x = -14x
-16 + -14x = 54 + 7x + -7x

Combine like terms: 7x + -7x = 0
-16 + -14x = 54 + 0
-16 + -14x = 54

Add '16' to each side of the equation.
-16 + 16 + -14x = 54 + 16

Combine like terms: -16 + 16 = 0
0 + -14x = 54 + 16
-14x = 54 + 16

Combine like terms: 54 + 16 = 70
-14x = 70

Divide each side by '-14'.
x = -5

Simplifying
x = -5

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