6(x+19)-4(x+7)+6(10-x)=-22-x

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Solution for 6(x+19)-4(x+7)+6(10-x)=-22-x equation:


Simplifying
6(x + 19) + -4(x + 7) + 6(10 + -1x) = -22 + -1x

Reorder the terms:
6(19 + x) + -4(x + 7) + 6(10 + -1x) = -22 + -1x
(19 * 6 + x * 6) + -4(x + 7) + 6(10 + -1x) = -22 + -1x
(114 + 6x) + -4(x + 7) + 6(10 + -1x) = -22 + -1x

Reorder the terms:
114 + 6x + -4(7 + x) + 6(10 + -1x) = -22 + -1x
114 + 6x + (7 * -4 + x * -4) + 6(10 + -1x) = -22 + -1x
114 + 6x + (-28 + -4x) + 6(10 + -1x) = -22 + -1x
114 + 6x + -28 + -4x + (10 * 6 + -1x * 6) = -22 + -1x
114 + 6x + -28 + -4x + (60 + -6x) = -22 + -1x

Reorder the terms:
114 + -28 + 60 + 6x + -4x + -6x = -22 + -1x

Combine like terms: 114 + -28 = 86
86 + 60 + 6x + -4x + -6x = -22 + -1x

Combine like terms: 86 + 60 = 146
146 + 6x + -4x + -6x = -22 + -1x

Combine like terms: 6x + -4x = 2x
146 + 2x + -6x = -22 + -1x

Combine like terms: 2x + -6x = -4x
146 + -4x = -22 + -1x

Solving
146 + -4x = -22 + -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.
146 + -4x + x = -22 + -1x + x

Combine like terms: -4x + x = -3x
146 + -3x = -22 + -1x + x

Combine like terms: -1x + x = 0
146 + -3x = -22 + 0
146 + -3x = -22

Add '-146' to each side of the equation.
146 + -146 + -3x = -22 + -146

Combine like terms: 146 + -146 = 0
0 + -3x = -22 + -146
-3x = -22 + -146

Combine like terms: -22 + -146 = -168
-3x = -168

Divide each side by '-3'.
x = 56

Simplifying
x = 56

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