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

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


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

Reorder the terms:
2x + 3(-5 + x) = 4x + -6
2x + (-5 * 3 + x * 3) = 4x + -6
2x + (-15 + 3x) = 4x + -6

Reorder the terms:
-15 + 2x + 3x = 4x + -6

Combine like terms: 2x + 3x = 5x
-15 + 5x = 4x + -6

Reorder the terms:
-15 + 5x = -6 + 4x

Solving
-15 + 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.
-15 + 5x + -4x = -6 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-15 + 1x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + 1x = -6 + 0
-15 + 1x = -6

Add '15' to each side of the equation.
-15 + 15 + 1x = -6 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = -6 + 15
1x = -6 + 15

Combine like terms: -6 + 15 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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