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

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


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

Reorder the terms:
3(-5 + x) + 4 = 4 + -2(x + 1)
(-5 * 3 + x * 3) + 4 = 4 + -2(x + 1)
(-15 + 3x) + 4 = 4 + -2(x + 1)

Reorder the terms:
-15 + 4 + 3x = 4 + -2(x + 1)

Combine like terms: -15 + 4 = -11
-11 + 3x = 4 + -2(x + 1)

Reorder the terms:
-11 + 3x = 4 + -2(1 + x)
-11 + 3x = 4 + (1 * -2 + x * -2)
-11 + 3x = 4 + (-2 + -2x)

Combine like terms: 4 + -2 = 2
-11 + 3x = 2 + -2x

Solving
-11 + 3x = 2 + -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 + 3x + 2x = 2 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-11 + 5x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-11 + 5x = 2 + 0
-11 + 5x = 2

Add '11' to each side of the equation.
-11 + 11 + 5x = 2 + 11

Combine like terms: -11 + 11 = 0
0 + 5x = 2 + 11
5x = 2 + 11

Combine like terms: 2 + 11 = 13
5x = 13

Divide each side by '5'.
x = 2.6

Simplifying
x = 2.6

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