6(2x-3)=10(x+1)+6

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Solution for 6(2x-3)=10(x+1)+6 equation:


Simplifying
6(2x + -3) = 10(x + 1) + 6

Reorder the terms:
6(-3 + 2x) = 10(x + 1) + 6
(-3 * 6 + 2x * 6) = 10(x + 1) + 6
(-18 + 12x) = 10(x + 1) + 6

Reorder the terms:
-18 + 12x = 10(1 + x) + 6
-18 + 12x = (1 * 10 + x * 10) + 6
-18 + 12x = (10 + 10x) + 6

Reorder the terms:
-18 + 12x = 10 + 6 + 10x

Combine like terms: 10 + 6 = 16
-18 + 12x = 16 + 10x

Solving
-18 + 12x = 16 + 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.
-18 + 12x + -10x = 16 + 10x + -10x

Combine like terms: 12x + -10x = 2x
-18 + 2x = 16 + 10x + -10x

Combine like terms: 10x + -10x = 0
-18 + 2x = 16 + 0
-18 + 2x = 16

Add '18' to each side of the equation.
-18 + 18 + 2x = 16 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = 16 + 18
2x = 16 + 18

Combine like terms: 16 + 18 = 34
2x = 34

Divide each side by '2'.
x = 17

Simplifying
x = 17

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