-2.8(x-9)=.7(x-8)

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Solution for -2.8(x-9)=.7(x-8) equation: 


Simplifying
-2.8(x + -9) = 0.7(x + -8)

Reorder the terms:
-2.8(-9 + x) = 0.7(x + -8)
(-9 * -2.8 + x * -2.8) = 0.7(x + -8)
(25.2 + -2.8x) = 0.7(x + -8)

Reorder the terms:
25.2 + -2.8x = 0.7(-8 + x)
25.2 + -2.8x = (-8 * 0.7 + x * 0.7)
25.2 + -2.8x = (-5.6 + 0.7x)

Solving
25.2 + -2.8x = -5.6 + 0.7x

Solving for variable 'x'.

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

Add '-0.7x' to each side of the equation.
25.2 + -2.8x + -0.7x = -5.6 + 0.7x + -0.7x

Combine like terms: -2.8x + -0.7x = -3.5x
25.2 + -3.5x = -5.6 + 0.7x + -0.7x

Combine like terms: 0.7x + -0.7x = 0.0
25.2 + -3.5x = -5.6 + 0.0
25.2 + -3.5x = -5.6

Add '-25.2' to each side of the equation.
25.2 + -25.2 + -3.5x = -5.6 + -25.2

Combine like terms: 25.2 + -25.2 = 0.0
0.0 + -3.5x = -5.6 + -25.2
-3.5x = -5.6 + -25.2

Combine like terms: -5.6 + -25.2 = -30.8
-3.5x = -30.8

Divide each side by '-3.5'.
x = 8.8

Simplifying
x = 8.8

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