7(x+2)+8=4(x-1)

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Solution for 7(x+2)+8=4(x-1) equation: 


Simplifying
7(x + 2) + 8 = 4(x + -1)

Reorder the terms:
7(2 + x) + 8 = 4(x + -1)
(2 * 7 + x * 7) + 8 = 4(x + -1)
(14 + 7x) + 8 = 4(x + -1)

Reorder the terms:
14 + 8 + 7x = 4(x + -1)

Combine like terms: 14 + 8 = 22
22 + 7x = 4(x + -1)

Reorder the terms:
22 + 7x = 4(-1 + x)
22 + 7x = (-1 * 4 + x * 4)
22 + 7x = (-4 + 4x)

Solving
22 + 7x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
22 + 7x + -4x = -4 + 4x + -4x

Combine like terms: 7x + -4x = 3x
22 + 3x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
22 + 3x = -4 + 0
22 + 3x = -4

Add '-22' to each side of the equation.
22 + -22 + 3x = -4 + -22

Combine like terms: 22 + -22 = 0
0 + 3x = -4 + -22
3x = -4 + -22

Combine like terms: -4 + -22 = -26
3x = -26

Divide each side by '3'.
x = -8.666666667

Simplifying
x = -8.666666667

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