3(x+0.6)=7(x-0.9)

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Solution for 3(x+0.6)=7(x-0.9) equation: 


Simplifying
3(x + 0.6) = 7(x + -0.9)

Reorder the terms:
3(0.6 + x) = 7(x + -0.9)
(0.6 * 3 + x * 3) = 7(x + -0.9)
(1.8 + 3x) = 7(x + -0.9)

Reorder the terms:
1.8 + 3x = 7(-0.9 + x)
1.8 + 3x = (-0.9 * 7 + x * 7)
1.8 + 3x = (-6.3 + 7x)

Solving
1.8 + 3x = -6.3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
1.8 + 3x + -7x = -6.3 + 7x + -7x

Combine like terms: 3x + -7x = -4x
1.8 + -4x = -6.3 + 7x + -7x

Combine like terms: 7x + -7x = 0
1.8 + -4x = -6.3 + 0
1.8 + -4x = -6.3

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -4x = -6.3 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -4x = -6.3 + -1.8
-4x = -6.3 + -1.8

Combine like terms: -6.3 + -1.8 = -8.1
-4x = -8.1

Divide each side by '-4'.
x = 2.025

Simplifying
x = 2.025

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