1.2(6x+12)+1=1.5(9x-3)+5

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Solution for 1.2(6x+12)+1=1.5(9x-3)+5 equation:


Simplifying
1.2(6x + 12) + 1 = 1.5(9x + -3) + 5

Reorder the terms:
1.2(12 + 6x) + 1 = 1.5(9x + -3) + 5
(12 * 1.2 + 6x * 1.2) + 1 = 1.5(9x + -3) + 5
(14.4 + 7.2x) + 1 = 1.5(9x + -3) + 5

Reorder the terms:
14.4 + 1 + 7.2x = 1.5(9x + -3) + 5

Combine like terms: 14.4 + 1 = 15.4
15.4 + 7.2x = 1.5(9x + -3) + 5

Reorder the terms:
15.4 + 7.2x = 1.5(-3 + 9x) + 5
15.4 + 7.2x = (-3 * 1.5 + 9x * 1.5) + 5
15.4 + 7.2x = (-4.5 + 13.5x) + 5

Reorder the terms:
15.4 + 7.2x = -4.5 + 5 + 13.5x

Combine like terms: -4.5 + 5 = 0.5
15.4 + 7.2x = 0.5 + 13.5x

Solving
15.4 + 7.2x = 0.5 + 13.5x

Solving for variable 'x'.

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

Add '-13.5x' to each side of the equation.
15.4 + 7.2x + -13.5x = 0.5 + 13.5x + -13.5x

Combine like terms: 7.2x + -13.5x = -6.3x
15.4 + -6.3x = 0.5 + 13.5x + -13.5x

Combine like terms: 13.5x + -13.5x = 0.0
15.4 + -6.3x = 0.5 + 0.0
15.4 + -6.3x = 0.5

Add '-15.4' to each side of the equation.
15.4 + -15.4 + -6.3x = 0.5 + -15.4

Combine like terms: 15.4 + -15.4 = 0.0
0.0 + -6.3x = 0.5 + -15.4
-6.3x = 0.5 + -15.4

Combine like terms: 0.5 + -15.4 = -14.9
-6.3x = -14.9

Divide each side by '-6.3'.
x = 2.365079365

Simplifying
x = 2.365079365

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