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

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


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

Reorder the terms:
x + 3(-3 + x) = 2(x + 5) + -4(x + 1)
x + (-3 * 3 + x * 3) = 2(x + 5) + -4(x + 1)
x + (-9 + 3x) = 2(x + 5) + -4(x + 1)

Reorder the terms:
-9 + x + 3x = 2(x + 5) + -4(x + 1)

Combine like terms: x + 3x = 4x
-9 + 4x = 2(x + 5) + -4(x + 1)

Reorder the terms:
-9 + 4x = 2(5 + x) + -4(x + 1)
-9 + 4x = (5 * 2 + x * 2) + -4(x + 1)
-9 + 4x = (10 + 2x) + -4(x + 1)

Reorder the terms:
-9 + 4x = 10 + 2x + -4(1 + x)
-9 + 4x = 10 + 2x + (1 * -4 + x * -4)
-9 + 4x = 10 + 2x + (-4 + -4x)

Reorder the terms:
-9 + 4x = 10 + -4 + 2x + -4x

Combine like terms: 10 + -4 = 6
-9 + 4x = 6 + 2x + -4x

Combine like terms: 2x + -4x = -2x
-9 + 4x = 6 + -2x

Solving
-9 + 4x = 6 + -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.
-9 + 4x + 2x = 6 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-9 + 6x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-9 + 6x = 6 + 0
-9 + 6x = 6

Add '9' to each side of the equation.
-9 + 9 + 6x = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 6x = 6 + 9
6x = 6 + 9

Combine like terms: 6 + 9 = 15
6x = 15

Divide each side by '6'.
x = 2.5

Simplifying
x = 2.5

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