4x-5=3(x-5)

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


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

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

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

Solving
-5 + 4x = -15 + 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.
-5 + 4x + -3x = -15 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-5 + 1x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 1x = -15 + 0
-5 + 1x = -15

Add '5' to each side of the equation.
-5 + 5 + 1x = -15 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = -15 + 5
1x = -15 + 5

Combine like terms: -15 + 5 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10

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