0.8(2x+1.4)=1.2(2x-8.4)

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Solution for 0.8(2x+1.4)=1.2(2x-8.4) equation:


Simplifying
0.8(2x + 1.4) = 1.2(2x + -8.4)

Reorder the terms:
0.8(1.4 + 2x) = 1.2(2x + -8.4)
(1.4 * 0.8 + 2x * 0.8) = 1.2(2x + -8.4)
(1.12 + 1.6x) = 1.2(2x + -8.4)

Reorder the terms:
1.12 + 1.6x = 1.2(-8.4 + 2x)
1.12 + 1.6x = (-8.4 * 1.2 + 2x * 1.2)
1.12 + 1.6x = (-10.08 + 2.4x)

Solving
1.12 + 1.6x = -10.08 + 2.4x

Solving for variable 'x'.

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

Add '-2.4x' to each side of the equation.
1.12 + 1.6x + -2.4x = -10.08 + 2.4x + -2.4x

Combine like terms: 1.6x + -2.4x = -0.8x
1.12 + -0.8x = -10.08 + 2.4x + -2.4x

Combine like terms: 2.4x + -2.4x = 0.0
1.12 + -0.8x = -10.08 + 0.0
1.12 + -0.8x = -10.08

Add '-1.12' to each side of the equation.
1.12 + -1.12 + -0.8x = -10.08 + -1.12

Combine like terms: 1.12 + -1.12 = 0.00
0.00 + -0.8x = -10.08 + -1.12
-0.8x = -10.08 + -1.12

Combine like terms: -10.08 + -1.12 = -11.2
-0.8x = -11.2

Divide each side by '-0.8'.
x = 14

Simplifying
x = 14

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