2(x-1)+6(x+1)=5(x+2)+3

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Solution for 2(x-1)+6(x+1)=5(x+2)+3 equation:


Simplifying
2(x + -1) + 6(x + 1) = 5(x + 2) + 3

Reorder the terms:
2(-1 + x) + 6(x + 1) = 5(x + 2) + 3
(-1 * 2 + x * 2) + 6(x + 1) = 5(x + 2) + 3
(-2 + 2x) + 6(x + 1) = 5(x + 2) + 3

Reorder the terms:
-2 + 2x + 6(1 + x) = 5(x + 2) + 3
-2 + 2x + (1 * 6 + x * 6) = 5(x + 2) + 3
-2 + 2x + (6 + 6x) = 5(x + 2) + 3

Reorder the terms:
-2 + 6 + 2x + 6x = 5(x + 2) + 3

Combine like terms: -2 + 6 = 4
4 + 2x + 6x = 5(x + 2) + 3

Combine like terms: 2x + 6x = 8x
4 + 8x = 5(x + 2) + 3

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

Reorder the terms:
4 + 8x = 10 + 3 + 5x

Combine like terms: 10 + 3 = 13
4 + 8x = 13 + 5x

Solving
4 + 8x = 13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + 8x + -5x = 13 + 5x + -5x

Combine like terms: 8x + -5x = 3x
4 + 3x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + 3x = 13 + 0
4 + 3x = 13

Add '-4' to each side of the equation.
4 + -4 + 3x = 13 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 13 + -4
3x = 13 + -4

Combine like terms: 13 + -4 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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