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

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


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

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

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

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

Combine like terms: -6 + -2 = -8
-8 + 3x + -7x = 4(3x + 1)

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

Reorder the terms:
-8 + -4x = 4(1 + 3x)
-8 + -4x = (1 * 4 + 3x * 4)
-8 + -4x = (4 + 12x)

Solving
-8 + -4x = 4 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-8 + -4x + -12x = 4 + 12x + -12x

Combine like terms: -4x + -12x = -16x
-8 + -16x = 4 + 12x + -12x

Combine like terms: 12x + -12x = 0
-8 + -16x = 4 + 0
-8 + -16x = 4

Add '8' to each side of the equation.
-8 + 8 + -16x = 4 + 8

Combine like terms: -8 + 8 = 0
0 + -16x = 4 + 8
-16x = 4 + 8

Combine like terms: 4 + 8 = 12
-16x = 12

Divide each side by '-16'.
x = -0.75

Simplifying
x = -0.75

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