2-0.4(x+1)=3.7-0.7x

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Solution for 2-0.4(x+1)=3.7-0.7x equation: 


Simplifying
2 + -0.4(x + 1) = 3.7 + -0.7x

Reorder the terms:
2 + -0.4(1 + x) = 3.7 + -0.7x
2 + (1 * -0.4 + x * -0.4) = 3.7 + -0.7x
2 + (-0.4 + -0.4x) = 3.7 + -0.7x

Combine like terms: 2 + -0.4 = 1.6
1.6 + -0.4x = 3.7 + -0.7x

Solving
1.6 + -0.4x = 3.7 + -0.7x

Solving for variable 'x'.

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

Add '0.7x' to each side of the equation.
1.6 + -0.4x + 0.7x = 3.7 + -0.7x + 0.7x

Combine like terms: -0.4x + 0.7x = 0.3x
1.6 + 0.3x = 3.7 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
1.6 + 0.3x = 3.7 + 0.0
1.6 + 0.3x = 3.7

Add '-1.6' to each side of the equation.
1.6 + -1.6 + 0.3x = 3.7 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 0.3x = 3.7 + -1.6
0.3x = 3.7 + -1.6

Combine like terms: 3.7 + -1.6 = 2.1
0.3x = 2.1

Divide each side by '0.3'.
x = 7

Simplifying
x = 7

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