7(4x+2)=27x-10

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Solution for 7(4x+2)=27x-10 equation:


Simplifying
7(4x + 2) = 27x + -10

Reorder the terms:
7(2 + 4x) = 27x + -10
(2 * 7 + 4x * 7) = 27x + -10
(14 + 28x) = 27x + -10

Reorder the terms:
14 + 28x = -10 + 27x

Solving
14 + 28x = -10 + 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
14 + 28x + -27x = -10 + 27x + -27x

Combine like terms: 28x + -27x = 1x
14 + 1x = -10 + 27x + -27x

Combine like terms: 27x + -27x = 0
14 + 1x = -10 + 0
14 + 1x = -10

Add '-14' to each side of the equation.
14 + -14 + 1x = -10 + -14

Combine like terms: 14 + -14 = 0
0 + 1x = -10 + -14
1x = -10 + -14

Combine like terms: -10 + -14 = -24
1x = -24

Divide each side by '1'.
x = -24

Simplifying
x = -24

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