4x+2(x-5)=3(x+1)+8

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Solution for 4x+2(x-5)=3(x+1)+8 equation: 


Simplifying
4x + 2(x + -5) = 3(x + 1) + 8

Reorder the terms:
4x + 2(-5 + x) = 3(x + 1) + 8
4x + (-5 * 2 + x * 2) = 3(x + 1) + 8
4x + (-10 + 2x) = 3(x + 1) + 8

Reorder the terms:
-10 + 4x + 2x = 3(x + 1) + 8

Combine like terms: 4x + 2x = 6x
-10 + 6x = 3(x + 1) + 8

Reorder the terms:
-10 + 6x = 3(1 + x) + 8
-10 + 6x = (1 * 3 + x * 3) + 8
-10 + 6x = (3 + 3x) + 8

Reorder the terms:
-10 + 6x = 3 + 8 + 3x

Combine like terms: 3 + 8 = 11
-10 + 6x = 11 + 3x

Solving
-10 + 6x = 11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 6x + -3x = 11 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-10 + 3x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 3x = 11 + 0
-10 + 3x = 11

Add '10' to each side of the equation.
-10 + 10 + 3x = 11 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 11 + 10
3x = 11 + 10

Combine like terms: 11 + 10 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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