0.3(5x-7)-0.2(3x+4)=1

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Solution for 0.3(5x-7)-0.2(3x+4)=1 equation: 


Simplifying
0.3(5x + -7) + -0.2(3x + 4) = 1

Reorder the terms:
0.3(-7 + 5x) + -0.2(3x + 4) = 1
(-7 * 0.3 + 5x * 0.3) + -0.2(3x + 4) = 1
(-2.1 + 1.5x) + -0.2(3x + 4) = 1

Reorder the terms:
-2.1 + 1.5x + -0.2(4 + 3x) = 1
-2.1 + 1.5x + (4 * -0.2 + 3x * -0.2) = 1
-2.1 + 1.5x + (-0.8 + -0.6x) = 1

Reorder the terms:
-2.1 + -0.8 + 1.5x + -0.6x = 1

Combine like terms: -2.1 + -0.8 = -2.9
-2.9 + 1.5x + -0.6x = 1

Combine like terms: 1.5x + -0.6x = 0.9x
-2.9 + 0.9x = 1

Solving
-2.9 + 0.9x = 1

Solving for variable 'x'.

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

Add '2.9' to each side of the equation.
-2.9 + 2.9 + 0.9x = 1 + 2.9

Combine like terms: -2.9 + 2.9 = 0.0
0.0 + 0.9x = 1 + 2.9
0.9x = 1 + 2.9

Combine like terms: 1 + 2.9 = 3.9
0.9x = 3.9

Divide each side by '0.9'.
x = 4.333333333

Simplifying
x = 4.333333333

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