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

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


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

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

Reorder the terms:
-8 + 4x + 2(5 + 2x) = 3(2x + 5)
-8 + 4x + (5 * 2 + 2x * 2) = 3(2x + 5)
-8 + 4x + (10 + 4x) = 3(2x + 5)

Reorder the terms:
-8 + 10 + 4x + 4x = 3(2x + 5)

Combine like terms: -8 + 10 = 2
2 + 4x + 4x = 3(2x + 5)

Combine like terms: 4x + 4x = 8x
2 + 8x = 3(2x + 5)

Reorder the terms:
2 + 8x = 3(5 + 2x)
2 + 8x = (5 * 3 + 2x * 3)
2 + 8x = (15 + 6x)

Solving
2 + 8x = 15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2 + 8x + -6x = 15 + 6x + -6x

Combine like terms: 8x + -6x = 2x
2 + 2x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + 2x = 15 + 0
2 + 2x = 15

Add '-2' to each side of the equation.
2 + -2 + 2x = 15 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 15 + -2
2x = 15 + -2

Combine like terms: 15 + -2 = 13
2x = 13

Divide each side by '2'.
x = 6.5

Simplifying
x = 6.5

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