6(x-1)-1=4(2x+1)-14+9

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Solution for 6(x-1)-1=4(2x+1)-14+9 equation:


Simplifying
6(x + -1) + -1 = 4(2x + 1) + -14 + 9

Reorder the terms:
6(-1 + x) + -1 = 4(2x + 1) + -14 + 9
(-1 * 6 + x * 6) + -1 = 4(2x + 1) + -14 + 9
(-6 + 6x) + -1 = 4(2x + 1) + -14 + 9

Reorder the terms:
-6 + -1 + 6x = 4(2x + 1) + -14 + 9

Combine like terms: -6 + -1 = -7
-7 + 6x = 4(2x + 1) + -14 + 9

Reorder the terms:
-7 + 6x = 4(1 + 2x) + -14 + 9
-7 + 6x = (1 * 4 + 2x * 4) + -14 + 9
-7 + 6x = (4 + 8x) + -14 + 9

Reorder the terms:
-7 + 6x = 4 + -14 + 9 + 8x

Combine like terms: 4 + -14 = -10
-7 + 6x = -10 + 9 + 8x

Combine like terms: -10 + 9 = -1
-7 + 6x = -1 + 8x

Solving
-7 + 6x = -1 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-7 + 6x + -8x = -1 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-7 + -2x = -1 + 8x + -8x

Combine like terms: 8x + -8x = 0
-7 + -2x = -1 + 0
-7 + -2x = -1

Add '7' to each side of the equation.
-7 + 7 + -2x = -1 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = -1 + 7
-2x = -1 + 7

Combine like terms: -1 + 7 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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