-7(x+4)+3x+5=7x+8

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Solution for -7(x+4)+3x+5=7x+8 equation: 


Simplifying
-7(x + 4) + 3x + 5 = 7x + 8

Reorder the terms:
-7(4 + x) + 3x + 5 = 7x + 8
(4 * -7 + x * -7) + 3x + 5 = 7x + 8
(-28 + -7x) + 3x + 5 = 7x + 8

Reorder the terms:
-28 + 5 + -7x + 3x = 7x + 8

Combine like terms: -28 + 5 = -23
-23 + -7x + 3x = 7x + 8

Combine like terms: -7x + 3x = -4x
-23 + -4x = 7x + 8

Reorder the terms:
-23 + -4x = 8 + 7x

Solving
-23 + -4x = 8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-23 + -4x + -7x = 8 + 7x + -7x

Combine like terms: -4x + -7x = -11x
-23 + -11x = 8 + 7x + -7x

Combine like terms: 7x + -7x = 0
-23 + -11x = 8 + 0
-23 + -11x = 8

Add '23' to each side of the equation.
-23 + 23 + -11x = 8 + 23

Combine like terms: -23 + 23 = 0
0 + -11x = 8 + 23
-11x = 8 + 23

Combine like terms: 8 + 23 = 31
-11x = 31

Divide each side by '-11'.
x = -2.818181818

Simplifying
x = -2.818181818

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