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

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


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

Reorder the terms:
2 + 5(3 + x) + -3(x + -4) = x + 2(2x + 4)
2 + (3 * 5 + x * 5) + -3(x + -4) = x + 2(2x + 4)
2 + (15 + 5x) + -3(x + -4) = x + 2(2x + 4)

Reorder the terms:
2 + 15 + 5x + -3(-4 + x) = x + 2(2x + 4)
2 + 15 + 5x + (-4 * -3 + x * -3) = x + 2(2x + 4)
2 + 15 + 5x + (12 + -3x) = x + 2(2x + 4)

Reorder the terms:
2 + 15 + 12 + 5x + -3x = x + 2(2x + 4)

Combine like terms: 2 + 15 = 17
17 + 12 + 5x + -3x = x + 2(2x + 4)

Combine like terms: 17 + 12 = 29
29 + 5x + -3x = x + 2(2x + 4)

Combine like terms: 5x + -3x = 2x
29 + 2x = x + 2(2x + 4)

Reorder the terms:
29 + 2x = x + 2(4 + 2x)
29 + 2x = x + (4 * 2 + 2x * 2)
29 + 2x = x + (8 + 4x)

Reorder the terms:
29 + 2x = 8 + x + 4x

Combine like terms: x + 4x = 5x
29 + 2x = 8 + 5x

Solving
29 + 2x = 8 + 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.
29 + 2x + -5x = 8 + 5x + -5x

Combine like terms: 2x + -5x = -3x
29 + -3x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
29 + -3x = 8 + 0
29 + -3x = 8

Add '-29' to each side of the equation.
29 + -29 + -3x = 8 + -29

Combine like terms: 29 + -29 = 0
0 + -3x = 8 + -29
-3x = 8 + -29

Combine like terms: 8 + -29 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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