x-1=2(2x-3)-10

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Solution for x-1=2(2x-3)-10 equation:


Simplifying
x + -1 = 2(2x + -3) + -10

Reorder the terms:
-1 + x = 2(2x + -3) + -10

Reorder the terms:
-1 + x = 2(-3 + 2x) + -10
-1 + x = (-3 * 2 + 2x * 2) + -10
-1 + x = (-6 + 4x) + -10

Reorder the terms:
-1 + x = -6 + -10 + 4x

Combine like terms: -6 + -10 = -16
-1 + x = -16 + 4x

Solving
-1 + x = -16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-1 + x + -4x = -16 + 4x + -4x

Combine like terms: x + -4x = -3x
-1 + -3x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1 + -3x = -16 + 0
-1 + -3x = -16

Add '1' to each side of the equation.
-1 + 1 + -3x = -16 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = -16 + 1
-3x = -16 + 1

Combine like terms: -16 + 1 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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