.04(2x-54)=-.8(x-5)

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Solution for .04(2x-54)=-.8(x-5) equation:


Simplifying
0.04(2x + -54) = -0.8(x + -5)

Reorder the terms:
0.04(-54 + 2x) = -0.8(x + -5)
(-54 * 0.04 + 2x * 0.04) = -0.8(x + -5)
(-2.16 + 0.08x) = -0.8(x + -5)

Reorder the terms:
-2.16 + 0.08x = -0.8(-5 + x)
-2.16 + 0.08x = (-5 * -0.8 + x * -0.8)
-2.16 + 0.08x = (4 + -0.8x)

Solving
-2.16 + 0.08x = 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.
-2.16 + 0.08x + 0.8x = 4 + -0.8x + 0.8x

Combine like terms: 0.08x + 0.8x = 0.88x
-2.16 + 0.88x = 4 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
-2.16 + 0.88x = 4 + 0.0
-2.16 + 0.88x = 4

Add '2.16' to each side of the equation.
-2.16 + 2.16 + 0.88x = 4 + 2.16

Combine like terms: -2.16 + 2.16 = 0.00
0.00 + 0.88x = 4 + 2.16
0.88x = 4 + 2.16

Combine like terms: 4 + 2.16 = 6.16
0.88x = 6.16

Divide each side by '0.88'.
x = 7

Simplifying
x = 7

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