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

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


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

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

Combine like terms: 4x + 5x = 9x
-2 + 9x = 3(x + -2) + 10

Reorder the terms:
-2 + 9x = 3(-2 + x) + 10
-2 + 9x = (-2 * 3 + x * 3) + 10
-2 + 9x = (-6 + 3x) + 10

Reorder the terms:
-2 + 9x = -6 + 10 + 3x

Combine like terms: -6 + 10 = 4
-2 + 9x = 4 + 3x

Solving
-2 + 9x = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + 9x + -3x = 4 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-2 + 6x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 6x = 4 + 0
-2 + 6x = 4

Add '2' to each side of the equation.
-2 + 2 + 6x = 4 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 4 + 2
6x = 4 + 2

Combine like terms: 4 + 2 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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