2(7x-4)-4(2x-6)=3x+31

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Solution for 2(7x-4)-4(2x-6)=3x+31 equation:


Simplifying
2(7x + -4) + -4(2x + -6) = 3x + 31

Reorder the terms:
2(-4 + 7x) + -4(2x + -6) = 3x + 31
(-4 * 2 + 7x * 2) + -4(2x + -6) = 3x + 31
(-8 + 14x) + -4(2x + -6) = 3x + 31

Reorder the terms:
-8 + 14x + -4(-6 + 2x) = 3x + 31
-8 + 14x + (-6 * -4 + 2x * -4) = 3x + 31
-8 + 14x + (24 + -8x) = 3x + 31

Reorder the terms:
-8 + 24 + 14x + -8x = 3x + 31

Combine like terms: -8 + 24 = 16
16 + 14x + -8x = 3x + 31

Combine like terms: 14x + -8x = 6x
16 + 6x = 3x + 31

Reorder the terms:
16 + 6x = 31 + 3x

Solving
16 + 6x = 31 + 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.
16 + 6x + -3x = 31 + 3x + -3x

Combine like terms: 6x + -3x = 3x
16 + 3x = 31 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + 3x = 31 + 0
16 + 3x = 31

Add '-16' to each side of the equation.
16 + -16 + 3x = 31 + -16

Combine like terms: 16 + -16 = 0
0 + 3x = 31 + -16
3x = 31 + -16

Combine like terms: 31 + -16 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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