3(2x-5)-1=4x-10

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Solution for 3(2x-5)-1=4x-10 equation:


Simplifying
3(2x + -5) + -1 = 4x + -10

Reorder the terms:
3(-5 + 2x) + -1 = 4x + -10
(-5 * 3 + 2x * 3) + -1 = 4x + -10
(-15 + 6x) + -1 = 4x + -10

Reorder the terms:
-15 + -1 + 6x = 4x + -10

Combine like terms: -15 + -1 = -16
-16 + 6x = 4x + -10

Reorder the terms:
-16 + 6x = -10 + 4x

Solving
-16 + 6x = -10 + 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.
-16 + 6x + -4x = -10 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-16 + 2x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + 2x = -10 + 0
-16 + 2x = -10

Add '16' to each side of the equation.
-16 + 16 + 2x = -10 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = -10 + 16
2x = -10 + 16

Combine like terms: -10 + 16 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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