2(3x-2)=10x-15

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Solution for 2(3x-2)=10x-15 equation:


Simplifying
2(3x + -2) = 10x + -15

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

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

Solving
-4 + 6x = -15 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-4 + 6x + -10x = -15 + 10x + -10x

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

Combine like terms: 10x + -10x = 0
-4 + -4x = -15 + 0
-4 + -4x = -15

Add '4' to each side of the equation.
-4 + 4 + -4x = -15 + 4

Combine like terms: -4 + 4 = 0
0 + -4x = -15 + 4
-4x = -15 + 4

Combine like terms: -15 + 4 = -11
-4x = -11

Divide each side by '-4'.
x = 2.75

Simplifying
x = 2.75

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