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

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


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

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

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

Combine like terms: 4 + -8 = -4
-7 + 3x = -4 + -6x

Solving
-7 + 3x = -4 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-7 + 3x + 6x = -4 + -6x + 6x

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

Combine like terms: -6x + 6x = 0
-7 + 9x = -4 + 0
-7 + 9x = -4

Add '7' to each side of the equation.
-7 + 7 + 9x = -4 + 7

Combine like terms: -7 + 7 = 0
0 + 9x = -4 + 7
9x = -4 + 7

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

Divide each side by '9'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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