4-0.3(x+1)=5.2-0.8x

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Solution for 4-0.3(x+1)=5.2-0.8x equation: 


Simplifying
4 + -0.3(x + 1) = 5.2 + -0.8x

Reorder the terms:
4 + -0.3(1 + x) = 5.2 + -0.8x
4 + (1 * -0.3 + x * -0.3) = 5.2 + -0.8x
4 + (-0.3 + -0.3x) = 5.2 + -0.8x

Combine like terms: 4 + -0.3 = 3.7
3.7 + -0.3x = 5.2 + -0.8x

Solving
3.7 + -0.3x = 5.2 + -0.8x

Solving for variable 'x'.

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

Add '0.8x' to each side of the equation.
3.7 + -0.3x + 0.8x = 5.2 + -0.8x + 0.8x

Combine like terms: -0.3x + 0.8x = 0.5x
3.7 + 0.5x = 5.2 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
3.7 + 0.5x = 5.2 + 0.0
3.7 + 0.5x = 5.2

Add '-3.7' to each side of the equation.
3.7 + -3.7 + 0.5x = 5.2 + -3.7

Combine like terms: 3.7 + -3.7 = 0.0
0.0 + 0.5x = 5.2 + -3.7
0.5x = 5.2 + -3.7

Combine like terms: 5.2 + -3.7 = 1.5
0.5x = 1.5

Divide each side by '0.5'.
x = 3

Simplifying
x = 3

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