3(2x+3)+4(x-2)=3(3x+7)

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Solution for 3(2x+3)+4(x-2)=3(3x+7) equation:


Simplifying
3(2x + 3) + 4(x + -2) = 3(3x + 7)

Reorder the terms:
3(3 + 2x) + 4(x + -2) = 3(3x + 7)
(3 * 3 + 2x * 3) + 4(x + -2) = 3(3x + 7)
(9 + 6x) + 4(x + -2) = 3(3x + 7)

Reorder the terms:
9 + 6x + 4(-2 + x) = 3(3x + 7)
9 + 6x + (-2 * 4 + x * 4) = 3(3x + 7)
9 + 6x + (-8 + 4x) = 3(3x + 7)

Reorder the terms:
9 + -8 + 6x + 4x = 3(3x + 7)

Combine like terms: 9 + -8 = 1
1 + 6x + 4x = 3(3x + 7)

Combine like terms: 6x + 4x = 10x
1 + 10x = 3(3x + 7)

Reorder the terms:
1 + 10x = 3(7 + 3x)
1 + 10x = (7 * 3 + 3x * 3)
1 + 10x = (21 + 9x)

Solving
1 + 10x = 21 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
1 + 10x + -9x = 21 + 9x + -9x

Combine like terms: 10x + -9x = 1x
1 + 1x = 21 + 9x + -9x

Combine like terms: 9x + -9x = 0
1 + 1x = 21 + 0
1 + 1x = 21

Add '-1' to each side of the equation.
1 + -1 + 1x = 21 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = 21 + -1
1x = 21 + -1

Combine like terms: 21 + -1 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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