-6x+23=-2-7(2x+1)

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Solution for -6x+23=-2-7(2x+1) equation:


Simplifying
-6x + 23 = -2 + -7(2x + 1)

Reorder the terms:
23 + -6x = -2 + -7(2x + 1)

Reorder the terms:
23 + -6x = -2 + -7(1 + 2x)
23 + -6x = -2 + (1 * -7 + 2x * -7)
23 + -6x = -2 + (-7 + -14x)

Combine like terms: -2 + -7 = -9
23 + -6x = -9 + -14x

Solving
23 + -6x = -9 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
23 + -6x + 14x = -9 + -14x + 14x

Combine like terms: -6x + 14x = 8x
23 + 8x = -9 + -14x + 14x

Combine like terms: -14x + 14x = 0
23 + 8x = -9 + 0
23 + 8x = -9

Add '-23' to each side of the equation.
23 + -23 + 8x = -9 + -23

Combine like terms: 23 + -23 = 0
0 + 8x = -9 + -23
8x = -9 + -23

Combine like terms: -9 + -23 = -32
8x = -32

Divide each side by '8'.
x = -4

Simplifying
x = -4

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