6.3(x+1)=-0.7x+2(0.1x+2)

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Solution for 6.3(x+1)=-0.7x+2(0.1x+2) equation: 


Simplifying
6.3(x + 1) = -0.7x + 2(0.1x + 2)

Reorder the terms:
6.3(1 + x) = -0.7x + 2(0.1x + 2)
(1 * 6.3 + x * 6.3) = -0.7x + 2(0.1x + 2)
(6.3 + 6.3x) = -0.7x + 2(0.1x + 2)

Reorder the terms:
6.3 + 6.3x = -0.7x + 2(2 + 0.1x)
6.3 + 6.3x = -0.7x + (2 * 2 + 0.1x * 2)
6.3 + 6.3x = -0.7x + (4 + 0.2x)

Reorder the terms:
6.3 + 6.3x = 4 + -0.7x + 0.2x

Combine like terms: -0.7x + 0.2x = -0.5x
6.3 + 6.3x = 4 + -0.5x

Solving
6.3 + 6.3x = 4 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
6.3 + 6.3x + 0.5x = 4 + -0.5x + 0.5x

Combine like terms: 6.3x + 0.5x = 6.8x
6.3 + 6.8x = 4 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
6.3 + 6.8x = 4 + 0.0
6.3 + 6.8x = 4

Add '-6.3' to each side of the equation.
6.3 + -6.3 + 6.8x = 4 + -6.3

Combine like terms: 6.3 + -6.3 = 0.0
0.0 + 6.8x = 4 + -6.3
6.8x = 4 + -6.3

Combine like terms: 4 + -6.3 = -2.3
6.8x = -2.3

Divide each side by '6.8'.
x = -0.3382352941

Simplifying
x = -0.3382352941

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