2(x+.7)=6(x-.8)

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Solution for 2(x+.7)=6(x-.8) equation:


Simplifying
2(x + 0.7) = 6(x + -0.8)

Reorder the terms:
2(0.7 + x) = 6(x + -0.8)
(0.7 * 2 + x * 2) = 6(x + -0.8)
(1.4 + 2x) = 6(x + -0.8)

Reorder the terms:
1.4 + 2x = 6(-0.8 + x)
1.4 + 2x = (-0.8 * 6 + x * 6)
1.4 + 2x = (-4.8 + 6x)

Solving
1.4 + 2x = -4.8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1.4 + 2x + -6x = -4.8 + 6x + -6x

Combine like terms: 2x + -6x = -4x
1.4 + -4x = -4.8 + 6x + -6x

Combine like terms: 6x + -6x = 0
1.4 + -4x = -4.8 + 0
1.4 + -4x = -4.8

Add '-1.4' to each side of the equation.
1.4 + -1.4 + -4x = -4.8 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + -4x = -4.8 + -1.4
-4x = -4.8 + -1.4

Combine like terms: -4.8 + -1.4 = -6.2
-4x = -6.2

Divide each side by '-4'.
x = 1.55

Simplifying
x = 1.55

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