0.9(7x+14)=1.4(x+2)

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Solution for 0.9(7x+14)=1.4(x+2) equation: 


Simplifying
0.9(7x + 14) = 1.4(x + 2)

Reorder the terms:
0.9(14 + 7x) = 1.4(x + 2)
(14 * 0.9 + 7x * 0.9) = 1.4(x + 2)
(12.6 + 6.3x) = 1.4(x + 2)

Reorder the terms:
12.6 + 6.3x = 1.4(2 + x)
12.6 + 6.3x = (2 * 1.4 + x * 1.4)
12.6 + 6.3x = (2.8 + 1.4x)

Solving
12.6 + 6.3x = 2.8 + 1.4x

Solving for variable 'x'.

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

Add '-1.4x' to each side of the equation.
12.6 + 6.3x + -1.4x = 2.8 + 1.4x + -1.4x

Combine like terms: 6.3x + -1.4x = 4.9x
12.6 + 4.9x = 2.8 + 1.4x + -1.4x

Combine like terms: 1.4x + -1.4x = 0.0
12.6 + 4.9x = 2.8 + 0.0
12.6 + 4.9x = 2.8

Add '-12.6' to each side of the equation.
12.6 + -12.6 + 4.9x = 2.8 + -12.6

Combine like terms: 12.6 + -12.6 = 0.0
0.0 + 4.9x = 2.8 + -12.6
4.9x = 2.8 + -12.6

Combine like terms: 2.8 + -12.6 = -9.8
4.9x = -9.8

Divide each side by '4.9'.
x = -2

Simplifying
x = -2

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