3.5(2x-5.4)=2.5(3x-1.2)

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Solution for 3.5(2x-5.4)=2.5(3x-1.2) equation:


Simplifying
3.5(2x + -5.4) = 2.5(3x + -1.2)

Reorder the terms:
3.5(-5.4 + 2x) = 2.5(3x + -1.2)
(-5.4 * 3.5 + 2x * 3.5) = 2.5(3x + -1.2)
(-18.9 + 7x) = 2.5(3x + -1.2)

Reorder the terms:
-18.9 + 7x = 2.5(-1.2 + 3x)
-18.9 + 7x = (-1.2 * 2.5 + 3x * 2.5)
-18.9 + 7x = (-3 + 7.5x)

Solving
-18.9 + 7x = -3 + 7.5x

Solving for variable 'x'.

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

Add '-7.5x' to each side of the equation.
-18.9 + 7x + -7.5x = -3 + 7.5x + -7.5x

Combine like terms: 7x + -7.5x = -0.5x
-18.9 + -0.5x = -3 + 7.5x + -7.5x

Combine like terms: 7.5x + -7.5x = 0.0
-18.9 + -0.5x = -3 + 0.0
-18.9 + -0.5x = -3

Add '18.9' to each side of the equation.
-18.9 + 18.9 + -0.5x = -3 + 18.9

Combine like terms: -18.9 + 18.9 = 0.0
0.0 + -0.5x = -3 + 18.9
-0.5x = -3 + 18.9

Combine like terms: -3 + 18.9 = 15.9
-0.5x = 15.9

Divide each side by '-0.5'.
x = -31.8

Simplifying
x = -31.8

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