3[-4x+7-4(x+1)]=3x-7

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


Simplifying
3[-4x + 7 + -4(x + 1)] = 3x + -7

Reorder the terms:
3[-4x + 7 + -4(1 + x)] = 3x + -7
3[-4x + 7 + (1 * -4 + x * -4)] = 3x + -7
3[-4x + 7 + (-4 + -4x)] = 3x + -7

Reorder the terms:
3[7 + -4 + -4x + -4x] = 3x + -7

Combine like terms: 7 + -4 = 3
3[3 + -4x + -4x] = 3x + -7

Combine like terms: -4x + -4x = -8x
3[3 + -8x] = 3x + -7
[3 * 3 + -8x * 3] = 3x + -7
[9 + -24x] = 3x + -7

Reorder the terms:
9 + -24x = -7 + 3x

Solving
9 + -24x = -7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9 + -24x + -3x = -7 + 3x + -3x

Combine like terms: -24x + -3x = -27x
9 + -27x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -27x = -7 + 0
9 + -27x = -7

Add '-9' to each side of the equation.
9 + -9 + -27x = -7 + -9

Combine like terms: 9 + -9 = 0
0 + -27x = -7 + -9
-27x = -7 + -9

Combine like terms: -7 + -9 = -16
-27x = -16

Divide each side by '-27'.
x = 0.5925925926

Simplifying
x = 0.5925925926

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