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

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


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

Reorder the terms:
2(-2 + 3x) + 3(x + 1) + -4 = 5x + -3(x + 1)
(-2 * 2 + 3x * 2) + 3(x + 1) + -4 = 5x + -3(x + 1)
(-4 + 6x) + 3(x + 1) + -4 = 5x + -3(x + 1)

Reorder the terms:
-4 + 6x + 3(1 + x) + -4 = 5x + -3(x + 1)
-4 + 6x + (1 * 3 + x * 3) + -4 = 5x + -3(x + 1)
-4 + 6x + (3 + 3x) + -4 = 5x + -3(x + 1)

Reorder the terms:
-4 + 3 + -4 + 6x + 3x = 5x + -3(x + 1)

Combine like terms: -4 + 3 = -1
-1 + -4 + 6x + 3x = 5x + -3(x + 1)

Combine like terms: -1 + -4 = -5
-5 + 6x + 3x = 5x + -3(x + 1)

Combine like terms: 6x + 3x = 9x
-5 + 9x = 5x + -3(x + 1)

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

Reorder the terms:
-5 + 9x = -3 + 5x + -3x

Combine like terms: 5x + -3x = 2x
-5 + 9x = -3 + 2x

Solving
-5 + 9x = -3 + 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.
-5 + 9x + -2x = -3 + 2x + -2x

Combine like terms: 9x + -2x = 7x
-5 + 7x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + 7x = -3 + 0
-5 + 7x = -3

Add '5' to each side of the equation.
-5 + 5 + 7x = -3 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = -3 + 5
7x = -3 + 5

Combine like terms: -3 + 5 = 2
7x = 2

Divide each side by '7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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