0.3(x-5)-0.2(2x-7)-1=0.4(5x-2)-6.6

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Solution for 0.3(x-5)-0.2(2x-7)-1=0.4(5x-2)-6.6 equation: 


Simplifying
0.3(x + -5) + -0.2(2x + -7) + -1 = 0.4(5x + -2) + -6.6

Reorder the terms:
0.3(-5 + x) + -0.2(2x + -7) + -1 = 0.4(5x + -2) + -6.6
(-5 * 0.3 + x * 0.3) + -0.2(2x + -7) + -1 = 0.4(5x + -2) + -6.6
(-1.5 + 0.3x) + -0.2(2x + -7) + -1 = 0.4(5x + -2) + -6.6

Reorder the terms:
-1.5 + 0.3x + -0.2(-7 + 2x) + -1 = 0.4(5x + -2) + -6.6
-1.5 + 0.3x + (-7 * -0.2 + 2x * -0.2) + -1 = 0.4(5x + -2) + -6.6
-1.5 + 0.3x + (1.4 + -0.4x) + -1 = 0.4(5x + -2) + -6.6

Reorder the terms:
-1.5 + 1.4 + -1 + 0.3x + -0.4x = 0.4(5x + -2) + -6.6

Combine like terms: -1.5 + 1.4 = -0.1
-0.1 + -1 + 0.3x + -0.4x = 0.4(5x + -2) + -6.6

Combine like terms: -0.1 + -1 = -1.1
-1.1 + 0.3x + -0.4x = 0.4(5x + -2) + -6.6

Combine like terms: 0.3x + -0.4x = -0.1x
-1.1 + -0.1x = 0.4(5x + -2) + -6.6

Reorder the terms:
-1.1 + -0.1x = 0.4(-2 + 5x) + -6.6
-1.1 + -0.1x = (-2 * 0.4 + 5x * 0.4) + -6.6
-1.1 + -0.1x = (-0.8 + 2x) + -6.6

Reorder the terms:
-1.1 + -0.1x = -0.8 + -6.6 + 2x

Combine like terms: -0.8 + -6.6 = -7.4
-1.1 + -0.1x = -7.4 + 2x

Solving
-1.1 + -0.1x = -7.4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-1.1 + -0.1x + -2x = -7.4 + 2x + -2x

Combine like terms: -0.1x + -2x = -2.1x
-1.1 + -2.1x = -7.4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1.1 + -2.1x = -7.4 + 0
-1.1 + -2.1x = -7.4

Add '1.1' to each side of the equation.
-1.1 + 1.1 + -2.1x = -7.4 + 1.1

Combine like terms: -1.1 + 1.1 = 0.0
0.0 + -2.1x = -7.4 + 1.1
-2.1x = -7.4 + 1.1

Combine like terms: -7.4 + 1.1 = -6.3
-2.1x = -6.3

Divide each side by '-2.1'.
x = 3

Simplifying
x = 3

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