0.7(x+6)=2.8(x-3)

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Solution for 0.7(x+6)=2.8(x-3) equation: 


Simplifying
0.7(x + 6) = 2.8(x + -3)

Reorder the terms:
0.7(6 + x) = 2.8(x + -3)
(6 * 0.7 + x * 0.7) = 2.8(x + -3)
(4.2 + 0.7x) = 2.8(x + -3)

Reorder the terms:
4.2 + 0.7x = 2.8(-3 + x)
4.2 + 0.7x = (-3 * 2.8 + x * 2.8)
4.2 + 0.7x = (-8.4 + 2.8x)

Solving
4.2 + 0.7x = -8.4 + 2.8x

Solving for variable 'x'.

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

Add '-2.8x' to each side of the equation.
4.2 + 0.7x + -2.8x = -8.4 + 2.8x + -2.8x

Combine like terms: 0.7x + -2.8x = -2.1x
4.2 + -2.1x = -8.4 + 2.8x + -2.8x

Combine like terms: 2.8x + -2.8x = 0.0
4.2 + -2.1x = -8.4 + 0.0
4.2 + -2.1x = -8.4

Add '-4.2' to each side of the equation.
4.2 + -4.2 + -2.1x = -8.4 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + -2.1x = -8.4 + -4.2
-2.1x = -8.4 + -4.2

Combine like terms: -8.4 + -4.2 = -12.6
-2.1x = -12.6

Divide each side by '-2.1'.
x = 6

Simplifying
x = 6

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