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

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Solution for 6(x-3)-4(x-2)=5-3x equation:


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

Reorder the terms:
6(-3 + x) + -4(x + -2) = 5 + -3x
(-3 * 6 + x * 6) + -4(x + -2) = 5 + -3x
(-18 + 6x) + -4(x + -2) = 5 + -3x

Reorder the terms:
-18 + 6x + -4(-2 + x) = 5 + -3x
-18 + 6x + (-2 * -4 + x * -4) = 5 + -3x
-18 + 6x + (8 + -4x) = 5 + -3x

Reorder the terms:
-18 + 8 + 6x + -4x = 5 + -3x

Combine like terms: -18 + 8 = -10
-10 + 6x + -4x = 5 + -3x

Combine like terms: 6x + -4x = 2x
-10 + 2x = 5 + -3x

Solving
-10 + 2x = 5 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-10 + 2x + 3x = 5 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-10 + 5x = 5 + -3x + 3x

Combine like terms: -3x + 3x = 0
-10 + 5x = 5 + 0
-10 + 5x = 5

Add '10' to each side of the equation.
-10 + 10 + 5x = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 5 + 10
5x = 5 + 10

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

Divide each side by '5'.
x = 3

Simplifying
x = 3

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