3x-5=2.5x+3(x-4)

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Solution for 3x-5=2.5x+3(x-4) equation:


Simplifying
3x + -5 = 2.5x + 3(x + -4)

Reorder the terms:
-5 + 3x = 2.5x + 3(x + -4)

Reorder the terms:
-5 + 3x = 2.5x + 3(-4 + x)
-5 + 3x = 2.5x + (-4 * 3 + x * 3)
-5 + 3x = 2.5x + (-12 + 3x)

Reorder the terms:
-5 + 3x = -12 + 2.5x + 3x

Combine like terms: 2.5x + 3x = 5.5x
-5 + 3x = -12 + 5.5x

Solving
-5 + 3x = -12 + 5.5x

Solving for variable 'x'.

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

Add '-5.5x' to each side of the equation.
-5 + 3x + -5.5x = -12 + 5.5x + -5.5x

Combine like terms: 3x + -5.5x = -2.5x
-5 + -2.5x = -12 + 5.5x + -5.5x

Combine like terms: 5.5x + -5.5x = 0.0
-5 + -2.5x = -12 + 0.0
-5 + -2.5x = -12

Add '5' to each side of the equation.
-5 + 5 + -2.5x = -12 + 5

Combine like terms: -5 + 5 = 0
0 + -2.5x = -12 + 5
-2.5x = -12 + 5

Combine like terms: -12 + 5 = -7
-2.5x = -7

Divide each side by '-2.5'.
x = 2.8

Simplifying
x = 2.8

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