3x+4(2x+5)=3x+2(5x+8)

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Solution for 3x+4(2x+5)=3x+2(5x+8) equation:


Simplifying
3x + 4(2x + 5) = 3x + 2(5x + 8)

Reorder the terms:
3x + 4(5 + 2x) = 3x + 2(5x + 8)
3x + (5 * 4 + 2x * 4) = 3x + 2(5x + 8)
3x + (20 + 8x) = 3x + 2(5x + 8)

Reorder the terms:
20 + 3x + 8x = 3x + 2(5x + 8)

Combine like terms: 3x + 8x = 11x
20 + 11x = 3x + 2(5x + 8)

Reorder the terms:
20 + 11x = 3x + 2(8 + 5x)
20 + 11x = 3x + (8 * 2 + 5x * 2)
20 + 11x = 3x + (16 + 10x)

Reorder the terms:
20 + 11x = 16 + 3x + 10x

Combine like terms: 3x + 10x = 13x
20 + 11x = 16 + 13x

Solving
20 + 11x = 16 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
20 + 11x + -13x = 16 + 13x + -13x

Combine like terms: 11x + -13x = -2x
20 + -2x = 16 + 13x + -13x

Combine like terms: 13x + -13x = 0
20 + -2x = 16 + 0
20 + -2x = 16

Add '-20' to each side of the equation.
20 + -20 + -2x = 16 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = 16 + -20
-2x = 16 + -20

Combine like terms: 16 + -20 = -4
-2x = -4

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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