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

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


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

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

Reorder the terms:
6 + 6x = -1 + -5 + 10x + 4x

Combine like terms: -1 + -5 = -6
6 + 6x = -6 + 10x + 4x

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

Solving
6 + 6x = -6 + 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.
6 + 6x + -14x = -6 + 14x + -14x

Combine like terms: 6x + -14x = -8x
6 + -8x = -6 + 14x + -14x

Combine like terms: 14x + -14x = 0
6 + -8x = -6 + 0
6 + -8x = -6

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

Combine like terms: 6 + -6 = 0
0 + -8x = -6 + -6
-8x = -6 + -6

Combine like terms: -6 + -6 = -12
-8x = -12

Divide each side by '-8'.
x = 1.5

Simplifying
x = 1.5

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