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

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


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

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

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

Reorder the terms:
-4 + -6x = 2x + 4(-7 + x)
-4 + -6x = 2x + (-7 * 4 + x * 4)
-4 + -6x = 2x + (-28 + 4x)

Reorder the terms:
-4 + -6x = -28 + 2x + 4x

Combine like terms: 2x + 4x = 6x
-4 + -6x = -28 + 6x

Solving
-4 + -6x = -28 + 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.
-4 + -6x + -6x = -28 + 6x + -6x

Combine like terms: -6x + -6x = -12x
-4 + -12x = -28 + 6x + -6x

Combine like terms: 6x + -6x = 0
-4 + -12x = -28 + 0
-4 + -12x = -28

Add '4' to each side of the equation.
-4 + 4 + -12x = -28 + 4

Combine like terms: -4 + 4 = 0
0 + -12x = -28 + 4
-12x = -28 + 4

Combine like terms: -28 + 4 = -24
-12x = -24

Divide each side by '-12'.
x = 2

Simplifying
x = 2

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