3(4x-5)-5(2x-3)=4(x-1)

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Solution for 3(4x-5)-5(2x-3)=4(x-1) equation:


Simplifying
3(4x + -5) + -5(2x + -3) = 4(x + -1)

Reorder the terms:
3(-5 + 4x) + -5(2x + -3) = 4(x + -1)
(-5 * 3 + 4x * 3) + -5(2x + -3) = 4(x + -1)
(-15 + 12x) + -5(2x + -3) = 4(x + -1)

Reorder the terms:
-15 + 12x + -5(-3 + 2x) = 4(x + -1)
-15 + 12x + (-3 * -5 + 2x * -5) = 4(x + -1)
-15 + 12x + (15 + -10x) = 4(x + -1)

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

Combine like terms: -15 + 15 = 0
0 + 12x + -10x = 4(x + -1)
12x + -10x = 4(x + -1)

Combine like terms: 12x + -10x = 2x
2x = 4(x + -1)

Reorder the terms:
2x = 4(-1 + x)
2x = (-1 * 4 + x * 4)
2x = (-4 + 4x)

Solving
2x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2x + -4x = -4 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-2x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2x = -4 + 0
-2x = -4

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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