0.3x-0.5(2x+7)=-0.8(x+3)

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Solution for 0.3x-0.5(2x+7)=-0.8(x+3) equation:


Simplifying
0.3x + -0.5(2x + 7) = -0.8(x + 3)

Reorder the terms:
0.3x + -0.5(7 + 2x) = -0.8(x + 3)
0.3x + (7 * -0.5 + 2x * -0.5) = -0.8(x + 3)
0.3x + (-3.5 + -1x) = -0.8(x + 3)

Reorder the terms:
-3.5 + 0.3x + -1x = -0.8(x + 3)

Combine like terms: 0.3x + -1x = -0.7x
-3.5 + -0.7x = -0.8(x + 3)

Reorder the terms:
-3.5 + -0.7x = -0.8(3 + x)
-3.5 + -0.7x = (3 * -0.8 + x * -0.8)
-3.5 + -0.7x = (-2.4 + -0.8x)

Solving
-3.5 + -0.7x = -2.4 + -0.8x

Solving for variable 'x'.

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

Add '0.8x' to each side of the equation.
-3.5 + -0.7x + 0.8x = -2.4 + -0.8x + 0.8x

Combine like terms: -0.7x + 0.8x = 0.1x
-3.5 + 0.1x = -2.4 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-3.5 + 0.1x = -2.4 + 0.0
-3.5 + 0.1x = -2.4

Add '3.5' to each side of the equation.
-3.5 + 3.5 + 0.1x = -2.4 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + 0.1x = -2.4 + 3.5
0.1x = -2.4 + 3.5

Combine like terms: -2.4 + 3.5 = 1.1
0.1x = 1.1

Divide each side by '0.1'.
x = 11

Simplifying
x = 11

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