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

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


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

Reorder the terms:
3x + 4(-2 + x) = 2x + -3 + 3(x + 1)
3x + (-2 * 4 + x * 4) = 2x + -3 + 3(x + 1)
3x + (-8 + 4x) = 2x + -3 + 3(x + 1)

Reorder the terms:
-8 + 3x + 4x = 2x + -3 + 3(x + 1)

Combine like terms: 3x + 4x = 7x
-8 + 7x = 2x + -3 + 3(x + 1)

Reorder the terms:
-8 + 7x = 2x + -3 + 3(1 + x)
-8 + 7x = 2x + -3 + (1 * 3 + x * 3)
-8 + 7x = 2x + -3 + (3 + 3x)

Reorder the terms:
-8 + 7x = -3 + 3 + 2x + 3x

Combine like terms: -3 + 3 = 0
-8 + 7x = 0 + 2x + 3x
-8 + 7x = 2x + 3x

Combine like terms: 2x + 3x = 5x
-8 + 7x = 5x

Solving
-8 + 7x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-8 + 7x + -5x = 5x + -5x

Combine like terms: 7x + -5x = 2x
-8 + 2x = 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + 2x = 0

Add '8' to each side of the equation.
-8 + 8 + 2x = 0 + 8

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

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

Divide each side by '2'.
x = 4

Simplifying
x = 4

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