3*x+2=5*2x-6

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Solution for 3*x+2=5*2x-6 equation: 


Simplifying
3x + 2 = 5 * 2x + -6

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

Multiply 5 * 2
2 + 3x = 10x + -6

Reorder the terms:
2 + 3x = -6 + 10x

Solving
2 + 3x = -6 + 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.
2 + 3x + -10x = -6 + 10x + -10x

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

Combine like terms: 10x + -10x = 0
2 + -7x = -6 + 0
2 + -7x = -6

Add '-2' to each side of the equation.
2 + -2 + -7x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = -6 + -2
-7x = -6 + -2

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

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143

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