3(x+3)+4(x-2)=5(x+4)

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Solution for 3(x+3)+4(x-2)=5(x+4) equation:


Simplifying
3(x + 3) + 4(x + -2) = 5(x + 4)

Reorder the terms:
3(3 + x) + 4(x + -2) = 5(x + 4)
(3 * 3 + x * 3) + 4(x + -2) = 5(x + 4)
(9 + 3x) + 4(x + -2) = 5(x + 4)

Reorder the terms:
9 + 3x + 4(-2 + x) = 5(x + 4)
9 + 3x + (-2 * 4 + x * 4) = 5(x + 4)
9 + 3x + (-8 + 4x) = 5(x + 4)

Reorder the terms:
9 + -8 + 3x + 4x = 5(x + 4)

Combine like terms: 9 + -8 = 1
1 + 3x + 4x = 5(x + 4)

Combine like terms: 3x + 4x = 7x
1 + 7x = 5(x + 4)

Reorder the terms:
1 + 7x = 5(4 + x)
1 + 7x = (4 * 5 + x * 5)
1 + 7x = (20 + 5x)

Solving
1 + 7x = 20 + 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.
1 + 7x + -5x = 20 + 5x + -5x

Combine like terms: 7x + -5x = 2x
1 + 2x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
1 + 2x = 20 + 0
1 + 2x = 20

Add '-1' to each side of the equation.
1 + -1 + 2x = 20 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 20 + -1
2x = 20 + -1

Combine like terms: 20 + -1 = 19
2x = 19

Divide each side by '2'.
x = 9.5

Simplifying
x = 9.5

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