7(x+8)+x=4(x+3)-2

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Solution for 7(x+8)+x=4(x+3)-2 equation:


Simplifying
7(x + 8) + x = 4(x + 3) + -2

Reorder the terms:
7(8 + x) + x = 4(x + 3) + -2
(8 * 7 + x * 7) + x = 4(x + 3) + -2
(56 + 7x) + x = 4(x + 3) + -2

Combine like terms: 7x + x = 8x
56 + 8x = 4(x + 3) + -2

Reorder the terms:
56 + 8x = 4(3 + x) + -2
56 + 8x = (3 * 4 + x * 4) + -2
56 + 8x = (12 + 4x) + -2

Reorder the terms:
56 + 8x = 12 + -2 + 4x

Combine like terms: 12 + -2 = 10
56 + 8x = 10 + 4x

Solving
56 + 8x = 10 + 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.
56 + 8x + -4x = 10 + 4x + -4x

Combine like terms: 8x + -4x = 4x
56 + 4x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
56 + 4x = 10 + 0
56 + 4x = 10

Add '-56' to each side of the equation.
56 + -56 + 4x = 10 + -56

Combine like terms: 56 + -56 = 0
0 + 4x = 10 + -56
4x = 10 + -56

Combine like terms: 10 + -56 = -46
4x = -46

Divide each side by '4'.
x = -11.5

Simplifying
x = -11.5

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