2(3x-4)-3=2(x-5)+15

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Solution for 2(3x-4)-3=2(x-5)+15 equation:


Simplifying
2(3x + -4) + -3 = 2(x + -5) + 15

Reorder the terms:
2(-4 + 3x) + -3 = 2(x + -5) + 15
(-4 * 2 + 3x * 2) + -3 = 2(x + -5) + 15
(-8 + 6x) + -3 = 2(x + -5) + 15

Reorder the terms:
-8 + -3 + 6x = 2(x + -5) + 15

Combine like terms: -8 + -3 = -11
-11 + 6x = 2(x + -5) + 15

Reorder the terms:
-11 + 6x = 2(-5 + x) + 15
-11 + 6x = (-5 * 2 + x * 2) + 15
-11 + 6x = (-10 + 2x) + 15

Reorder the terms:
-11 + 6x = -10 + 15 + 2x

Combine like terms: -10 + 15 = 5
-11 + 6x = 5 + 2x

Solving
-11 + 6x = 5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-11 + 6x + -2x = 5 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-11 + 4x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-11 + 4x = 5 + 0
-11 + 4x = 5

Add '11' to each side of the equation.
-11 + 11 + 4x = 5 + 11

Combine like terms: -11 + 11 = 0
0 + 4x = 5 + 11
4x = 5 + 11

Combine like terms: 5 + 11 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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