0.7x-0.1=0.5-0.4(4-3x)

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Solution for 0.7x-0.1=0.5-0.4(4-3x) equation:


Simplifying
0.7x + -0.1 = 0.5 + -0.4(4 + -3x)

Reorder the terms:
-0.1 + 0.7x = 0.5 + -0.4(4 + -3x)
-0.1 + 0.7x = 0.5 + (4 * -0.4 + -3x * -0.4)
-0.1 + 0.7x = 0.5 + (-1.6 + 1.2x)

Combine like terms: 0.5 + -1.6 = -1.1
-0.1 + 0.7x = -1.1 + 1.2x

Solving
-0.1 + 0.7x = -1.1 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
-0.1 + 0.7x + -1.2x = -1.1 + 1.2x + -1.2x

Combine like terms: 0.7x + -1.2x = -0.5x
-0.1 + -0.5x = -1.1 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
-0.1 + -0.5x = -1.1 + 0.0
-0.1 + -0.5x = -1.1

Add '0.1' to each side of the equation.
-0.1 + 0.1 + -0.5x = -1.1 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -0.5x = -1.1 + 0.1
-0.5x = -1.1 + 0.1

Combine like terms: -1.1 + 0.1 = -1
-0.5x = -1

Divide each side by '-0.5'.
x = 2

Simplifying
x = 2

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