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Solve the equation 1.2(3x-5)=1.5(2.4x-4)

User Gsfd
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7.8k points

1 Answer

4 votes

Reorder the terms:
1.2(-5 + 3x) = 1.5(2.4x + -4)
(-5 * 1.2 + 3x * 1.2) = 1.5(2.4x + -4)
(-6 + 3.6x) = 1.5(2.4x + -4)

Reorder the terms:
-6 + 3.6x = 1.5(-4 + 2.4x)
-6 + 3.6x = (-4 * 1.5 + 2.4x * 1.5)
-6 + 3.6x = (-6 + 3.6x)

Add '6' to each side of the equation.
-6 + 6 + 3.6x = -6 + 6 + 3.6x

Combine like terms: -6 + 6 = 0
0 + 3.6x = -6 + 6 + 3.6x
3.6x = -6 + 6 + 3.6x

Combine like terms: -6 + 6 = 0
3.6x = 0 + 3.6x
3.6x = 3.6x

Add '-3.6x' to each side of the equation.
3.6x + -3.6x = 3.6x + -3.6x

Combine like terms: 3.6x + -3.6x = 0.0
0.0 = 3.6x + -3.6x

Combine like terms: 3.6x + -3.6x = 0.0
0.0 = 0.0

Solving
0.0 = 0.0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.
User Calin Blaga
by
8.5k points

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