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

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


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

Reorder the terms:
3(-2 + x) + 7x = 2x + 8
(-2 * 3 + x * 3) + 7x = 2x + 8
(-6 + 3x) + 7x = 2x + 8

Combine like terms: 3x + 7x = 10x
-6 + 10x = 2x + 8

Reorder the terms:
-6 + 10x = 8 + 2x

Solving
-6 + 10x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6 + 10x + -2x = 8 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-6 + 8x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 8x = 8 + 0
-6 + 8x = 8

Add '6' to each side of the equation.
-6 + 6 + 8x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 8 + 6
8x = 8 + 6

Combine like terms: 8 + 6 = 14
8x = 14

Divide each side by '8'.
x = 1.75

Simplifying
x = 1.75

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