4x+3.5=-.2(x-3.5)

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Solution for 4x+3.5=-.2(x-3.5) equation: 


Simplifying
4x + 3.5 = -0.2(x + -3.5)

Reorder the terms:
3.5 + 4x = -0.2(x + -3.5)

Reorder the terms:
3.5 + 4x = -0.2(-3.5 + x)
3.5 + 4x = (-3.5 * -0.2 + x * -0.2)
3.5 + 4x = (0.7 + -0.2x)

Solving
3.5 + 4x = 0.7 + -0.2x

Solving for variable 'x'.

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

Add '0.2x' to each side of the equation.
3.5 + 4x + 0.2x = 0.7 + -0.2x + 0.2x

Combine like terms: 4x + 0.2x = 4.2x
3.5 + 4.2x = 0.7 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
3.5 + 4.2x = 0.7 + 0.0
3.5 + 4.2x = 0.7

Add '-3.5' to each side of the equation.
3.5 + -3.5 + 4.2x = 0.7 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 4.2x = 0.7 + -3.5
4.2x = 0.7 + -3.5

Combine like terms: 0.7 + -3.5 = -2.8
4.2x = -2.8

Divide each side by '4.2'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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