3(2x-5)=5(x-4+x)

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Solution for 3(2x-5)=5(x-4+x) equation:


Simplifying
3(2x + -5) = 5(x + -4 + x)

Reorder the terms:
3(-5 + 2x) = 5(x + -4 + x)
(-5 * 3 + 2x * 3) = 5(x + -4 + x)
(-15 + 6x) = 5(x + -4 + x)

Reorder the terms:
-15 + 6x = 5(-4 + x + x)

Combine like terms: x + x = 2x
-15 + 6x = 5(-4 + 2x)
-15 + 6x = (-4 * 5 + 2x * 5)
-15 + 6x = (-20 + 10x)

Solving
-15 + 6x = -20 + 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.
-15 + 6x + -10x = -20 + 10x + -10x

Combine like terms: 6x + -10x = -4x
-15 + -4x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
-15 + -4x = -20 + 0
-15 + -4x = -20

Add '15' to each side of the equation.
-15 + 15 + -4x = -20 + 15

Combine like terms: -15 + 15 = 0
0 + -4x = -20 + 15
-4x = -20 + 15

Combine like terms: -20 + 15 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

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