7(x+0.6)=2(x-5.6)+3.4

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Solution for 7(x+0.6)=2(x-5.6)+3.4 equation: 


Simplifying
7(x + 0.6) = 2(x + -5.6) + 3.4

Reorder the terms:
7(0.6 + x) = 2(x + -5.6) + 3.4
(0.6 * 7 + x * 7) = 2(x + -5.6) + 3.4
(4.2 + 7x) = 2(x + -5.6) + 3.4

Reorder the terms:
4.2 + 7x = 2(-5.6 + x) + 3.4
4.2 + 7x = (-5.6 * 2 + x * 2) + 3.4
4.2 + 7x = (-11.2 + 2x) + 3.4

Reorder the terms:
4.2 + 7x = -11.2 + 3.4 + 2x

Combine like terms: -11.2 + 3.4 = -7.8
4.2 + 7x = -7.8 + 2x

Solving
4.2 + 7x = -7.8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4.2 + 7x + -2x = -7.8 + 2x + -2x

Combine like terms: 7x + -2x = 5x
4.2 + 5x = -7.8 + 2x + -2x

Combine like terms: 2x + -2x = 0
4.2 + 5x = -7.8 + 0
4.2 + 5x = -7.8

Add '-4.2' to each side of the equation.
4.2 + -4.2 + 5x = -7.8 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + 5x = -7.8 + -4.2
5x = -7.8 + -4.2

Combine like terms: -7.8 + -4.2 = -12
5x = -12

Divide each side by '5'.
x = -2.4

Simplifying
x = -2.4

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