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

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Solution for 7(2x+1)=4x-6x equation:


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

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

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

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

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

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

Add '-7' to each side of the equation.
7 + -7 + 16x = 0 + -7

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

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

Divide each side by '16'.
x = -0.4375

Simplifying
x = -0.4375

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