2(x-9)-7=14x-61

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Solution for 2(x-9)-7=14x-61 equation:


Simplifying
2(x + -9) + -7 = 14x + -61

Reorder the terms:
2(-9 + x) + -7 = 14x + -61
(-9 * 2 + x * 2) + -7 = 14x + -61
(-18 + 2x) + -7 = 14x + -61

Reorder the terms:
-18 + -7 + 2x = 14x + -61

Combine like terms: -18 + -7 = -25
-25 + 2x = 14x + -61

Reorder the terms:
-25 + 2x = -61 + 14x

Solving
-25 + 2x = -61 + 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.
-25 + 2x + -14x = -61 + 14x + -14x

Combine like terms: 2x + -14x = -12x
-25 + -12x = -61 + 14x + -14x

Combine like terms: 14x + -14x = 0
-25 + -12x = -61 + 0
-25 + -12x = -61

Add '25' to each side of the equation.
-25 + 25 + -12x = -61 + 25

Combine like terms: -25 + 25 = 0
0 + -12x = -61 + 25
-12x = -61 + 25

Combine like terms: -61 + 25 = -36
-12x = -36

Divide each side by '-12'.
x = 3

Simplifying
x = 3

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