6(x+19)-4(x+7)+6(10-x)=-22-2(x+120)

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Solution for 6(x+19)-4(x+7)+6(10-x)=-22-2(x+120) equation: 


Simplifying
6(x + 19) + -4(x + 7) + 6(10 + -1x) = -22 + -2(x + 120)

Reorder the terms:
6(19 + x) + -4(x + 7) + 6(10 + -1x) = -22 + -2(x + 120)
(19 * 6 + x * 6) + -4(x + 7) + 6(10 + -1x) = -22 + -2(x + 120)
(114 + 6x) + -4(x + 7) + 6(10 + -1x) = -22 + -2(x + 120)

Reorder the terms:
114 + 6x + -4(7 + x) + 6(10 + -1x) = -22 + -2(x + 120)
114 + 6x + (7 * -4 + x * -4) + 6(10 + -1x) = -22 + -2(x + 120)
114 + 6x + (-28 + -4x) + 6(10 + -1x) = -22 + -2(x + 120)
114 + 6x + -28 + -4x + (10 * 6 + -1x * 6) = -22 + -2(x + 120)
114 + 6x + -28 + -4x + (60 + -6x) = -22 + -2(x + 120)

Reorder the terms:
114 + -28 + 60 + 6x + -4x + -6x = -22 + -2(x + 120)

Combine like terms: 114 + -28 = 86
86 + 60 + 6x + -4x + -6x = -22 + -2(x + 120)

Combine like terms: 86 + 60 = 146
146 + 6x + -4x + -6x = -22 + -2(x + 120)

Combine like terms: 6x + -4x = 2x
146 + 2x + -6x = -22 + -2(x + 120)

Combine like terms: 2x + -6x = -4x
146 + -4x = -22 + -2(x + 120)

Reorder the terms:
146 + -4x = -22 + -2(120 + x)
146 + -4x = -22 + (120 * -2 + x * -2)
146 + -4x = -22 + (-240 + -2x)

Combine like terms: -22 + -240 = -262
146 + -4x = -262 + -2x

Solving
146 + -4x = -262 + -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.
146 + -4x + 2x = -262 + -2x + 2x

Combine like terms: -4x + 2x = -2x
146 + -2x = -262 + -2x + 2x

Combine like terms: -2x + 2x = 0
146 + -2x = -262 + 0
146 + -2x = -262

Add '-146' to each side of the equation.
146 + -146 + -2x = -262 + -146

Combine like terms: 146 + -146 = 0
0 + -2x = -262 + -146
-2x = -262 + -146

Combine like terms: -262 + -146 = -408
-2x = -408

Divide each side by '-2'.
x = 204

Simplifying
x = 204

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