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

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Solution for 2(3x-4)+7=3x-2(x+1) equation:


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

Reorder the terms:
2(-4 + 3x) + 7 = 3x + -2(x + 1)
(-4 * 2 + 3x * 2) + 7 = 3x + -2(x + 1)
(-8 + 6x) + 7 = 3x + -2(x + 1)

Reorder the terms:
-8 + 7 + 6x = 3x + -2(x + 1)

Combine like terms: -8 + 7 = -1
-1 + 6x = 3x + -2(x + 1)

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

Reorder the terms:
-1 + 6x = -2 + 3x + -2x

Combine like terms: 3x + -2x = 1x
-1 + 6x = -2 + 1x

Solving
-1 + 6x = -2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1 + 6x + -1x = -2 + 1x + -1x

Combine like terms: 6x + -1x = 5x
-1 + 5x = -2 + 1x + -1x

Combine like terms: 1x + -1x = 0
-1 + 5x = -2 + 0
-1 + 5x = -2

Add '1' to each side of the equation.
-1 + 1 + 5x = -2 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = -2 + 1
5x = -2 + 1

Combine like terms: -2 + 1 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2

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