7(4x+1)=3x-9x

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Solution for 7(4x+1)=3x-9x equation:


Simplifying
7(4x + 1) = 3x + -9x

Reorder the terms:
7(1 + 4x) = 3x + -9x
(1 * 7 + 4x * 7) = 3x + -9x
(7 + 28x) = 3x + -9x

Combine like terms: 3x + -9x = -6x
7 + 28x = -6x

Solving
7 + 28x = -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.
7 + 28x + 6x = -6x + 6x

Combine like terms: 28x + 6x = 34x
7 + 34x = -6x + 6x

Combine like terms: -6x + 6x = 0
7 + 34x = 0

Add '-7' to each side of the equation.
7 + -7 + 34x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 34x = 0 + -7
34x = 0 + -7

Combine like terms: 0 + -7 = -7
34x = -7

Divide each side by '34'.
x = -0.2058823529

Simplifying
x = -0.2058823529

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