-0.3(2x-3)=0.7(-5-4x)

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Solution for -0.3(2x-3)=0.7(-5-4x) equation:


Simplifying
-0.3(2x + -3) = 0.7(-5 + -4x)

Reorder the terms:
-0.3(-3 + 2x) = 0.7(-5 + -4x)
(-3 * -0.3 + 2x * -0.3) = 0.7(-5 + -4x)
(0.9 + -0.6x) = 0.7(-5 + -4x)
0.9 + -0.6x = (-5 * 0.7 + -4x * 0.7)
0.9 + -0.6x = (-3.5 + -2.8x)

Solving
0.9 + -0.6x = -3.5 + -2.8x

Solving for variable 'x'.

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

Add '2.8x' to each side of the equation.
0.9 + -0.6x + 2.8x = -3.5 + -2.8x + 2.8x

Combine like terms: -0.6x + 2.8x = 2.2x
0.9 + 2.2x = -3.5 + -2.8x + 2.8x

Combine like terms: -2.8x + 2.8x = 0.0
0.9 + 2.2x = -3.5 + 0.0
0.9 + 2.2x = -3.5

Add '-0.9' to each side of the equation.
0.9 + -0.9 + 2.2x = -3.5 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + 2.2x = -3.5 + -0.9
2.2x = -3.5 + -0.9

Combine like terms: -3.5 + -0.9 = -4.4
2.2x = -4.4

Divide each side by '2.2'.
x = -2

Simplifying
x = -2

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