2(x+3)=3x-2-(7-4x)

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Solution for 2(x+3)=3x-2-(7-4x) equation:


Simplifying
2(x + 3) = 3x + -2 + -1(7 + -4x)

Reorder the terms:
2(3 + x) = 3x + -2 + -1(7 + -4x)
(3 * 2 + x * 2) = 3x + -2 + -1(7 + -4x)
(6 + 2x) = 3x + -2 + -1(7 + -4x)
6 + 2x = 3x + -2 + (7 * -1 + -4x * -1)
6 + 2x = 3x + -2 + (-7 + 4x)

Reorder the terms:
6 + 2x = -2 + -7 + 3x + 4x

Combine like terms: -2 + -7 = -9
6 + 2x = -9 + 3x + 4x

Combine like terms: 3x + 4x = 7x
6 + 2x = -9 + 7x

Solving
6 + 2x = -9 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + 2x + -7x = -9 + 7x + -7x

Combine like terms: 2x + -7x = -5x
6 + -5x = -9 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -5x = -9 + 0
6 + -5x = -9

Add '-6' to each side of the equation.
6 + -6 + -5x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -9 + -6
-5x = -9 + -6

Combine like terms: -9 + -6 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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