2.8(x+1.5)=4.2(x-2)

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Solution for 2.8(x+1.5)=4.2(x-2) equation: 


Simplifying
2.8(x + 1.5) = 4.2(x + -2)

Reorder the terms:
2.8(1.5 + x) = 4.2(x + -2)
(1.5 * 2.8 + x * 2.8) = 4.2(x + -2)
(4.2 + 2.8x) = 4.2(x + -2)

Reorder the terms:
4.2 + 2.8x = 4.2(-2 + x)
4.2 + 2.8x = (-2 * 4.2 + x * 4.2)
4.2 + 2.8x = (-8.4 + 4.2x)

Solving
4.2 + 2.8x = -8.4 + 4.2x

Solving for variable 'x'.

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

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

Combine like terms: 2.8x + -4.2x = -1.4x
4.2 + -1.4x = -8.4 + 4.2x + -4.2x

Combine like terms: 4.2x + -4.2x = 0.0
4.2 + -1.4x = -8.4 + 0.0
4.2 + -1.4x = -8.4

Add '-4.2' to each side of the equation.
4.2 + -4.2 + -1.4x = -8.4 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + -1.4x = -8.4 + -4.2
-1.4x = -8.4 + -4.2

Combine like terms: -8.4 + -4.2 = -12.6
-1.4x = -12.6

Divide each side by '-1.4'.
x = 9

Simplifying
x = 9

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