1.2(x+4)+3=2x(9.2+3.4)

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Solution for 1.2(x+4)+3=2x(9.2+3.4) equation:


Simplifying
1.2(x + 4) + 3 = 2x(9.2 + 3.4)

Reorder the terms:
1.2(4 + x) + 3 = 2x(9.2 + 3.4)
(4 * 1.2 + x * 1.2) + 3 = 2x(9.2 + 3.4)
(4.8 + 1.2x) + 3 = 2x(9.2 + 3.4)

Reorder the terms:
4.8 + 3 + 1.2x = 2x(9.2 + 3.4)

Combine like terms: 4.8 + 3 = 7.8
7.8 + 1.2x = 2x(9.2 + 3.4)

Combine like terms: 9.2 + 3.4 = 12.6
7.8 + 1.2x = 2x(12.6)

Reorder the terms for easier multiplication:
7.8 + 1.2x = 2 * 12.6x

Multiply 2 * 12.6
7.8 + 1.2x = 25.2x

Solving
7.8 + 1.2x = 25.2x

Solving for variable 'x'.

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

Add '-25.2x' to each side of the equation.
7.8 + 1.2x + -25.2x = 25.2x + -25.2x

Combine like terms: 1.2x + -25.2x = -24x
7.8 + -24x = 25.2x + -25.2x

Combine like terms: 25.2x + -25.2x = 0.0
7.8 + -24x = 0.0

Add '-7.8' to each side of the equation.
7.8 + -7.8 + -24x = 0.0 + -7.8

Combine like terms: 7.8 + -7.8 = 0.0
0.0 + -24x = 0.0 + -7.8
-24x = 0.0 + -7.8

Combine like terms: 0.0 + -7.8 = -7.8
-24x = -7.8

Divide each side by '-24'.
x = 0.325

Simplifying
x = 0.325

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