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

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


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

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

Reorder the terms:
4 + 40x = -2 + 3x

Solving
4 + 40x = -2 + 3x

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 0
4 + 37x = -2 + 0
4 + 37x = -2

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

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

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

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

Simplifying
x = -0.1621621622

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