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

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


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

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

Reorder the terms:
-15 + 4x + 3x = 5x + -6

Combine like terms: 4x + 3x = 7x
-15 + 7x = 5x + -6

Reorder the terms:
-15 + 7x = -6 + 5x

Solving
-15 + 7x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-15 + 7x + -5x = -6 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-15 + 2x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-15 + 2x = -6 + 0
-15 + 2x = -6

Add '15' to each side of the equation.
-15 + 15 + 2x = -6 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = -6 + 15
2x = -6 + 15

Combine like terms: -6 + 15 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5

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