3(4x-5)=10(x-1)

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Solution for 3(4x-5)=10(x-1) equation:


Simplifying
3(4x + -5) = 10(x + -1)

Reorder the terms:
3(-5 + 4x) = 10(x + -1)
(-5 * 3 + 4x * 3) = 10(x + -1)
(-15 + 12x) = 10(x + -1)

Reorder the terms:
-15 + 12x = 10(-1 + x)
-15 + 12x = (-1 * 10 + x * 10)
-15 + 12x = (-10 + 10x)

Solving
-15 + 12x = -10 + 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 + 12x + -10x = -10 + 10x + -10x

Combine like terms: 12x + -10x = 2x
-15 + 2x = -10 + 10x + -10x

Combine like terms: 10x + -10x = 0
-15 + 2x = -10 + 0
-15 + 2x = -10

Add '15' to each side of the equation.
-15 + 15 + 2x = -10 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = -10 + 15
2x = -10 + 15

Combine like terms: -10 + 15 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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