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

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


Simplifying
2(7x + 4) = 4x + -6(2x + -1x) + 7

Reorder the terms:
2(4 + 7x) = 4x + -6(2x + -1x) + 7
(4 * 2 + 7x * 2) = 4x + -6(2x + -1x) + 7
(8 + 14x) = 4x + -6(2x + -1x) + 7

Combine like terms: 2x + -1x = 1x
8 + 14x = 4x + -6(1x) + 7

Remove parenthesis around (1x)
8 + 14x = 4x + -6 * 1x + 7

Multiply -6 * 1
8 + 14x = 4x + -6x + 7

Reorder the terms:
8 + 14x = 7 + 4x + -6x

Combine like terms: 4x + -6x = -2x
8 + 14x = 7 + -2x

Solving
8 + 14x = 7 + -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.
8 + 14x + 2x = 7 + -2x + 2x

Combine like terms: 14x + 2x = 16x
8 + 16x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
8 + 16x = 7 + 0
8 + 16x = 7

Add '-8' to each side of the equation.
8 + -8 + 16x = 7 + -8

Combine like terms: 8 + -8 = 0
0 + 16x = 7 + -8
16x = 7 + -8

Combine like terms: 7 + -8 = -1
16x = -1

Divide each side by '16'.
x = -0.0625

Simplifying
x = -0.0625

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