3.1x+2=6x-2(1+2.4x)+1.53

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Solution for 3.1x+2=6x-2(1+2.4x)+1.53 equation: 


Simplifying
3.1x + 2 = 6x + -2(1 + 2.4x) + 1.53

Reorder the terms:
2 + 3.1x = 6x + -2(1 + 2.4x) + 1.53
2 + 3.1x = 6x + (1 * -2 + 2.4x * -2) + 1.53
2 + 3.1x = 6x + (-2 + -4.8x) + 1.53

Reorder the terms:
2 + 3.1x = -2 + 1.53 + 6x + -4.8x

Combine like terms: -2 + 1.53 = -0.47
2 + 3.1x = -0.47 + 6x + -4.8x

Combine like terms: 6x + -4.8x = 1.2x
2 + 3.1x = -0.47 + 1.2x

Solving
2 + 3.1x = -0.47 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
2 + 3.1x + -1.2x = -0.47 + 1.2x + -1.2x

Combine like terms: 3.1x + -1.2x = 1.9x
2 + 1.9x = -0.47 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
2 + 1.9x = -0.47 + 0.0
2 + 1.9x = -0.47

Add '-2' to each side of the equation.
2 + -2 + 1.9x = -0.47 + -2

Combine like terms: 2 + -2 = 0
0 + 1.9x = -0.47 + -2
1.9x = -0.47 + -2

Combine like terms: -0.47 + -2 = -2.47
1.9x = -2.47

Divide each side by '1.9'.
x = -1.3

Simplifying
x = -1.3

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