.08(7x-1.2)-.08=.2(-1.2x+.05)

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Solution for .08(7x-1.2)-.08=.2(-1.2x+.05) equation:


Simplifying
0.08(7x + -1.2) + -0.08 = 0.2(-1.2x + 0.05)

Reorder the terms:
0.08(-1.2 + 7x) + -0.08 = 0.2(-1.2x + 0.05)
(-1.2 * 0.08 + 7x * 0.08) + -0.08 = 0.2(-1.2x + 0.05)
(-0.096 + 0.56x) + -0.08 = 0.2(-1.2x + 0.05)

Reorder the terms:
-0.096 + -0.08 + 0.56x = 0.2(-1.2x + 0.05)

Combine like terms: -0.096 + -0.08 = -0.176
-0.176 + 0.56x = 0.2(-1.2x + 0.05)

Reorder the terms:
-0.176 + 0.56x = 0.2(0.05 + -1.2x)
-0.176 + 0.56x = (0.05 * 0.2 + -1.2x * 0.2)
-0.176 + 0.56x = (0.01 + -0.24x)

Solving
-0.176 + 0.56x = 0.01 + -0.24x

Solving for variable 'x'.

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

Add '0.24x' to each side of the equation.
-0.176 + 0.56x + 0.24x = 0.01 + -0.24x + 0.24x

Combine like terms: 0.56x + 0.24x = 0.8x
-0.176 + 0.8x = 0.01 + -0.24x + 0.24x

Combine like terms: -0.24x + 0.24x = 0.00
-0.176 + 0.8x = 0.01 + 0.00
-0.176 + 0.8x = 0.01

Add '0.176' to each side of the equation.
-0.176 + 0.176 + 0.8x = 0.01 + 0.176

Combine like terms: -0.176 + 0.176 = 0.000
0.000 + 0.8x = 0.01 + 0.176
0.8x = 0.01 + 0.176

Combine like terms: 0.01 + 0.176 = 0.186
0.8x = 0.186

Divide each side by '0.8'.
x = 0.2325

Simplifying
x = 0.2325

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