3(x-1)+3x-3=4(x+5)

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Solution for 3(x-1)+3x-3=4(x+5) equation:


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

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

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

Combine like terms: -3 + -3 = -6
-6 + 3x + 3x = 4(x + 5)

Combine like terms: 3x + 3x = 6x
-6 + 6x = 4(x + 5)

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

Solving
-6 + 6x = 20 + 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.
-6 + 6x + -4x = 20 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-6 + 2x = 20 + 0
-6 + 2x = 20

Add '6' to each side of the equation.
-6 + 6 + 2x = 20 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 20 + 6
2x = 20 + 6

Combine like terms: 20 + 6 = 26
2x = 26

Divide each side by '2'.
x = 13

Simplifying
x = 13

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