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

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


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

Reorder the terms:
2(-5 + x) + -3(2 + -1x) = 4x + -6
(-5 * 2 + x * 2) + -3(2 + -1x) = 4x + -6
(-10 + 2x) + -3(2 + -1x) = 4x + -6
-10 + 2x + (2 * -3 + -1x * -3) = 4x + -6
-10 + 2x + (-6 + 3x) = 4x + -6

Reorder the terms:
-10 + -6 + 2x + 3x = 4x + -6

Combine like terms: -10 + -6 = -16
-16 + 2x + 3x = 4x + -6

Combine like terms: 2x + 3x = 5x
-16 + 5x = 4x + -6

Reorder the terms:
-16 + 5x = -6 + 4x

Solving
-16 + 5x = -6 + 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.
-16 + 5x + -4x = -6 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-16 + 1x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + 1x = -6 + 0
-16 + 1x = -6

Add '16' to each side of the equation.
-16 + 16 + 1x = -6 + 16

Combine like terms: -16 + 16 = 0
0 + 1x = -6 + 16
1x = -6 + 16

Combine like terms: -6 + 16 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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