4[x+2(3x-7)]=2x-65

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Solution for 4[x+2(3x-7)]=2x-65 equation:


Simplifying
4[x + 2(3x + -7)] = 2x + -65

Reorder the terms:
4[x + 2(-7 + 3x)] = 2x + -65
4[x + (-7 * 2 + 3x * 2)] = 2x + -65
4[x + (-14 + 6x)] = 2x + -65

Reorder the terms:
4[-14 + x + 6x] = 2x + -65

Combine like terms: x + 6x = 7x
4[-14 + 7x] = 2x + -65
[-14 * 4 + 7x * 4] = 2x + -65
[-56 + 28x] = 2x + -65

Reorder the terms:
-56 + 28x = -65 + 2x

Solving
-56 + 28x = -65 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-56 + 28x + -2x = -65 + 2x + -2x

Combine like terms: 28x + -2x = 26x
-56 + 26x = -65 + 2x + -2x

Combine like terms: 2x + -2x = 0
-56 + 26x = -65 + 0
-56 + 26x = -65

Add '56' to each side of the equation.
-56 + 56 + 26x = -65 + 56

Combine like terms: -56 + 56 = 0
0 + 26x = -65 + 56
26x = -65 + 56

Combine like terms: -65 + 56 = -9
26x = -9

Divide each side by '26'.
x = -0.3461538462

Simplifying
x = -0.3461538462

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