0.4(5x-1)=0.3(10x+1)+2.4

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Solution for 0.4(5x-1)=0.3(10x+1)+2.4 equation: 


Simplifying
0.4(5x + -1) = 0.3(10x + 1) + 2.4

Reorder the terms:
0.4(-1 + 5x) = 0.3(10x + 1) + 2.4
(-1 * 0.4 + 5x * 0.4) = 0.3(10x + 1) + 2.4
(-0.4 + 2x) = 0.3(10x + 1) + 2.4

Reorder the terms:
-0.4 + 2x = 0.3(1 + 10x) + 2.4
-0.4 + 2x = (1 * 0.3 + 10x * 0.3) + 2.4
-0.4 + 2x = (0.3 + 3x) + 2.4

Reorder the terms:
-0.4 + 2x = 0.3 + 2.4 + 3x

Combine like terms: 0.3 + 2.4 = 2.7
-0.4 + 2x = 2.7 + 3x

Solving
-0.4 + 2x = 2.7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-0.4 + 2x + -3x = 2.7 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-0.4 + -1x = 2.7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-0.4 + -1x = 2.7 + 0
-0.4 + -1x = 2.7

Add '0.4' to each side of the equation.
-0.4 + 0.4 + -1x = 2.7 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + -1x = 2.7 + 0.4
-1x = 2.7 + 0.4

Combine like terms: 2.7 + 0.4 = 3.1
-1x = 3.1

Divide each side by '-1'.
x = -3.1

Simplifying
x = -3.1

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