2(x+8)=7x+3(x-1)+3

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Solution for 2(x+8)=7x+3(x-1)+3 equation: 


Simplifying
2(x + 8) = 7x + 3(x + -1) + 3

Reorder the terms:
2(8 + x) = 7x + 3(x + -1) + 3
(8 * 2 + x * 2) = 7x + 3(x + -1) + 3
(16 + 2x) = 7x + 3(x + -1) + 3

Reorder the terms:
16 + 2x = 7x + 3(-1 + x) + 3
16 + 2x = 7x + (-1 * 3 + x * 3) + 3
16 + 2x = 7x + (-3 + 3x) + 3

Reorder the terms:
16 + 2x = -3 + 3 + 7x + 3x

Combine like terms: -3 + 3 = 0
16 + 2x = 0 + 7x + 3x
16 + 2x = 7x + 3x

Combine like terms: 7x + 3x = 10x
16 + 2x = 10x

Solving
16 + 2x = 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
16 + 2x + -10x = 10x + -10x

Combine like terms: 2x + -10x = -8x
16 + -8x = 10x + -10x

Combine like terms: 10x + -10x = 0
16 + -8x = 0

Add '-16' to each side of the equation.
16 + -16 + -8x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -8x = 0 + -16
-8x = 0 + -16

Combine like terms: 0 + -16 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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