4(x+1)+5(x-3)=2(x+5)

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Solution for 4(x+1)+5(x-3)=2(x+5) equation:


Simplifying
4(x + 1) + 5(x + -3) = 2(x + 5)

Reorder the terms:
4(1 + x) + 5(x + -3) = 2(x + 5)
(1 * 4 + x * 4) + 5(x + -3) = 2(x + 5)
(4 + 4x) + 5(x + -3) = 2(x + 5)

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

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

Combine like terms: 4 + -15 = -11
-11 + 4x + 5x = 2(x + 5)

Combine like terms: 4x + 5x = 9x
-11 + 9x = 2(x + 5)

Reorder the terms:
-11 + 9x = 2(5 + x)
-11 + 9x = (5 * 2 + x * 2)
-11 + 9x = (10 + 2x)

Solving
-11 + 9x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-11 + 9x + -2x = 10 + 2x + -2x

Combine like terms: 9x + -2x = 7x
-11 + 7x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-11 + 7x = 10 + 0
-11 + 7x = 10

Add '11' to each side of the equation.
-11 + 11 + 7x = 10 + 11

Combine like terms: -11 + 11 = 0
0 + 7x = 10 + 11
7x = 10 + 11

Combine like terms: 10 + 11 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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