3x-2=4(10x+1)

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Solution for 3x-2=4(10x+1) equation:


Simplifying
3x + -2 = 4(10x + 1)

Reorder the terms:
-2 + 3x = 4(10x + 1)

Reorder the terms:
-2 + 3x = 4(1 + 10x)
-2 + 3x = (1 * 4 + 10x * 4)
-2 + 3x = (4 + 40x)

Solving
-2 + 3x = 4 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
-2 + 3x + -40x = 4 + 40x + -40x

Combine like terms: 3x + -40x = -37x
-2 + -37x = 4 + 40x + -40x

Combine like terms: 40x + -40x = 0
-2 + -37x = 4 + 0
-2 + -37x = 4

Add '2' to each side of the equation.
-2 + 2 + -37x = 4 + 2

Combine like terms: -2 + 2 = 0
0 + -37x = 4 + 2
-37x = 4 + 2

Combine like terms: 4 + 2 = 6
-37x = 6

Divide each side by '-37'.
x = -0.1621621622

Simplifying
x = -0.1621621622

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