0.4x-0.5(2x+3)=-0.7(x+3)

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Solution for 0.4x-0.5(2x+3)=-0.7(x+3) equation: 


Simplifying
0.4x + -0.5(2x + 3) = -0.7(x + 3)

Reorder the terms:
0.4x + -0.5(3 + 2x) = -0.7(x + 3)
0.4x + (3 * -0.5 + 2x * -0.5) = -0.7(x + 3)
0.4x + (-1.5 + -1x) = -0.7(x + 3)

Reorder the terms:
-1.5 + 0.4x + -1x = -0.7(x + 3)

Combine like terms: 0.4x + -1x = -0.6x
-1.5 + -0.6x = -0.7(x + 3)

Reorder the terms:
-1.5 + -0.6x = -0.7(3 + x)
-1.5 + -0.6x = (3 * -0.7 + x * -0.7)
-1.5 + -0.6x = (-2.1 + -0.7x)

Solving
-1.5 + -0.6x = -2.1 + -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.
-1.5 + -0.6x + 0.7x = -2.1 + -0.7x + 0.7x

Combine like terms: -0.6x + 0.7x = 0.1x
-1.5 + 0.1x = -2.1 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
-1.5 + 0.1x = -2.1 + 0.0
-1.5 + 0.1x = -2.1

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 0.1x = -2.1 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.1x = -2.1 + 1.5
0.1x = -2.1 + 1.5

Combine like terms: -2.1 + 1.5 = -0.6
0.1x = -0.6

Divide each side by '0.1'.
x = -6

Simplifying
x = -6

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