0.2(3x+5)-0.3(x+7)=4

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Solution for 0.2(3x+5)-0.3(x+7)=4 equation: 


Simplifying
0.2(3x + 5) + -0.3(x + 7) = 4

Reorder the terms:
0.2(5 + 3x) + -0.3(x + 7) = 4
(5 * 0.2 + 3x * 0.2) + -0.3(x + 7) = 4
(1 + 0.6x) + -0.3(x + 7) = 4

Reorder the terms:
1 + 0.6x + -0.3(7 + x) = 4
1 + 0.6x + (7 * -0.3 + x * -0.3) = 4
1 + 0.6x + (-2.1 + -0.3x) = 4

Reorder the terms:
1 + -2.1 + 0.6x + -0.3x = 4

Combine like terms: 1 + -2.1 = -1.1
-1.1 + 0.6x + -0.3x = 4

Combine like terms: 0.6x + -0.3x = 0.3x
-1.1 + 0.3x = 4

Solving
-1.1 + 0.3x = 4

Solving for variable 'x'.

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

Add '1.1' to each side of the equation.
-1.1 + 1.1 + 0.3x = 4 + 1.1

Combine like terms: -1.1 + 1.1 = 0.0
0.0 + 0.3x = 4 + 1.1
0.3x = 4 + 1.1

Combine like terms: 4 + 1.1 = 5.1
0.3x = 5.1

Divide each side by '0.3'.
x = 17

Simplifying
x = 17

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