4(x-2)+5x=3(x+3)-11

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Solution for 4(x-2)+5x=3(x+3)-11 equation:


Simplifying
4(x + -2) + 5x = 3(x + 3) + -11

Reorder the terms:
4(-2 + x) + 5x = 3(x + 3) + -11
(-2 * 4 + x * 4) + 5x = 3(x + 3) + -11
(-8 + 4x) + 5x = 3(x + 3) + -11

Combine like terms: 4x + 5x = 9x
-8 + 9x = 3(x + 3) + -11

Reorder the terms:
-8 + 9x = 3(3 + x) + -11
-8 + 9x = (3 * 3 + x * 3) + -11
-8 + 9x = (9 + 3x) + -11

Reorder the terms:
-8 + 9x = 9 + -11 + 3x

Combine like terms: 9 + -11 = -2
-8 + 9x = -2 + 3x

Solving
-8 + 9x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + 9x + -3x = -2 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-8 + 6x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 6x = -2 + 0
-8 + 6x = -2

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

Combine like terms: -8 + 8 = 0
0 + 6x = -2 + 8
6x = -2 + 8

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

Divide each side by '6'.
x = 1

Simplifying
x = 1

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