.4x-.5(2x+5)=-.7(x+3)

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Solution for .4x-.5(2x+5)=-.7(x+3) equation: 


Simplifying
0.4x + -0.5(2x + 5) = -0.7(x + 3)

Reorder the terms:
0.4x + -0.5(5 + 2x) = -0.7(x + 3)
0.4x + (5 * -0.5 + 2x * -0.5) = -0.7(x + 3)
0.4x + (-2.5 + -1x) = -0.7(x + 3)

Reorder the terms:
-2.5 + 0.4x + -1x = -0.7(x + 3)

Combine like terms: 0.4x + -1x = -0.6x
-2.5 + -0.6x = -0.7(x + 3)

Reorder the terms:
-2.5 + -0.6x = -0.7(3 + x)
-2.5 + -0.6x = (3 * -0.7 + x * -0.7)
-2.5 + -0.6x = (-2.1 + -0.7x)

Solving
-2.5 + -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.
-2.5 + -0.6x + 0.7x = -2.1 + -0.7x + 0.7x

Combine like terms: -0.6x + 0.7x = 0.1x
-2.5 + 0.1x = -2.1 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
-2.5 + 0.1x = -2.1 + 0.0
-2.5 + 0.1x = -2.1

Add '2.5' to each side of the equation.
-2.5 + 2.5 + 0.1x = -2.1 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 0.1x = -2.1 + 2.5
0.1x = -2.1 + 2.5

Combine like terms: -2.1 + 2.5 = 0.4
0.1x = 0.4

Divide each side by '0.1'.
x = 4

Simplifying
x = 4

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