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

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


Simplifying
2(x + -1) + 3(2x + -3) + -1(4x + -5) = 0

Reorder the terms:
2(-1 + x) + 3(2x + -3) + -1(4x + -5) = 0
(-1 * 2 + x * 2) + 3(2x + -3) + -1(4x + -5) = 0
(-2 + 2x) + 3(2x + -3) + -1(4x + -5) = 0

Reorder the terms:
-2 + 2x + 3(-3 + 2x) + -1(4x + -5) = 0
-2 + 2x + (-3 * 3 + 2x * 3) + -1(4x + -5) = 0
-2 + 2x + (-9 + 6x) + -1(4x + -5) = 0

Reorder the terms:
-2 + 2x + -9 + 6x + -1(-5 + 4x) = 0
-2 + 2x + -9 + 6x + (-5 * -1 + 4x * -1) = 0
-2 + 2x + -9 + 6x + (5 + -4x) = 0

Reorder the terms:
-2 + -9 + 5 + 2x + 6x + -4x = 0

Combine like terms: -2 + -9 = -11
-11 + 5 + 2x + 6x + -4x = 0

Combine like terms: -11 + 5 = -6
-6 + 2x + 6x + -4x = 0

Combine like terms: 2x + 6x = 8x
-6 + 8x + -4x = 0

Combine like terms: 8x + -4x = 4x
-6 + 4x = 0

Solving
-6 + 4x = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 4x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 0 + 6
4x = 0 + 6

Combine like terms: 0 + 6 = 6
4x = 6

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5

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