7(x-2)+x=-4(3x-2)

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Solution for 7(x-2)+x=-4(3x-2) equation:


Simplifying
7(x + -2) + x = -4(3x + -2)

Reorder the terms:
7(-2 + x) + x = -4(3x + -2)
(-2 * 7 + x * 7) + x = -4(3x + -2)
(-14 + 7x) + x = -4(3x + -2)

Combine like terms: 7x + x = 8x
-14 + 8x = -4(3x + -2)

Reorder the terms:
-14 + 8x = -4(-2 + 3x)
-14 + 8x = (-2 * -4 + 3x * -4)
-14 + 8x = (8 + -12x)

Solving
-14 + 8x = 8 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-14 + 8x + 12x = 8 + -12x + 12x

Combine like terms: 8x + 12x = 20x
-14 + 20x = 8 + -12x + 12x

Combine like terms: -12x + 12x = 0
-14 + 20x = 8 + 0
-14 + 20x = 8

Add '14' to each side of the equation.
-14 + 14 + 20x = 8 + 14

Combine like terms: -14 + 14 = 0
0 + 20x = 8 + 14
20x = 8 + 14

Combine like terms: 8 + 14 = 22
20x = 22

Divide each side by '20'.
x = 1.1

Simplifying
x = 1.1

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