3(x-3)+4=21-2(2x-1)

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Solution for 3(x-3)+4=21-2(2x-1) equation:


Simplifying
3(x + -3) + 4 = 21 + -2(2x + -1)

Reorder the terms:
3(-3 + x) + 4 = 21 + -2(2x + -1)
(-3 * 3 + x * 3) + 4 = 21 + -2(2x + -1)
(-9 + 3x) + 4 = 21 + -2(2x + -1)

Reorder the terms:
-9 + 4 + 3x = 21 + -2(2x + -1)

Combine like terms: -9 + 4 = -5
-5 + 3x = 21 + -2(2x + -1)

Reorder the terms:
-5 + 3x = 21 + -2(-1 + 2x)
-5 + 3x = 21 + (-1 * -2 + 2x * -2)
-5 + 3x = 21 + (2 + -4x)

Combine like terms: 21 + 2 = 23
-5 + 3x = 23 + -4x

Solving
-5 + 3x = 23 + -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.
-5 + 3x + 4x = 23 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-5 + 7x = 23 + -4x + 4x

Combine like terms: -4x + 4x = 0
-5 + 7x = 23 + 0
-5 + 7x = 23

Add '5' to each side of the equation.
-5 + 5 + 7x = 23 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = 23 + 5
7x = 23 + 5

Combine like terms: 23 + 5 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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