1.5(9x-3)=5(2x+7)

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Solution for 1.5(9x-3)=5(2x+7) equation:


Simplifying
1.5(9x + -3) = 5(2x + 7)

Reorder the terms:
1.5(-3 + 9x) = 5(2x + 7)
(-3 * 1.5 + 9x * 1.5) = 5(2x + 7)
(-4.5 + 13.5x) = 5(2x + 7)

Reorder the terms:
-4.5 + 13.5x = 5(7 + 2x)
-4.5 + 13.5x = (7 * 5 + 2x * 5)
-4.5 + 13.5x = (35 + 10x)

Solving
-4.5 + 13.5x = 35 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-4.5 + 13.5x + -10x = 35 + 10x + -10x

Combine like terms: 13.5x + -10x = 3.5x
-4.5 + 3.5x = 35 + 10x + -10x

Combine like terms: 10x + -10x = 0
-4.5 + 3.5x = 35 + 0
-4.5 + 3.5x = 35

Add '4.5' to each side of the equation.
-4.5 + 4.5 + 3.5x = 35 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 3.5x = 35 + 4.5
3.5x = 35 + 4.5

Combine like terms: 35 + 4.5 = 39.5
3.5x = 39.5

Divide each side by '3.5'.
x = 11.28571429

Simplifying
x = 11.28571429

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