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

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


Simplifying
4(x + -5) + -1(3x + -2) = 6

Reorder the terms:
4(-5 + x) + -1(3x + -2) = 6
(-5 * 4 + x * 4) + -1(3x + -2) = 6
(-20 + 4x) + -1(3x + -2) = 6

Reorder the terms:
-20 + 4x + -1(-2 + 3x) = 6
-20 + 4x + (-2 * -1 + 3x * -1) = 6
-20 + 4x + (2 + -3x) = 6

Reorder the terms:
-20 + 2 + 4x + -3x = 6

Combine like terms: -20 + 2 = -18
-18 + 4x + -3x = 6

Combine like terms: 4x + -3x = 1x
-18 + 1x = 6

Solving
-18 + 1x = 6

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 1x = 6 + 18

Combine like terms: -18 + 18 = 0
0 + 1x = 6 + 18
1x = 6 + 18

Combine like terms: 6 + 18 = 24
1x = 24

Divide each side by '1'.
x = 24

Simplifying
x = 24

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