3(2x-3+4x-2)=3(5x)-7+2

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Solution for 3(2x-3+4x-2)=3(5x)-7+2 equation:


Simplifying
3(2x + -3 + 4x + -2) = 3(5x) + -7 + 2

Reorder the terms:
3(-3 + -2 + 2x + 4x) = 3(5x) + -7 + 2

Combine like terms: -3 + -2 = -5
3(-5 + 2x + 4x) = 3(5x) + -7 + 2

Combine like terms: 2x + 4x = 6x
3(-5 + 6x) = 3(5x) + -7 + 2
(-5 * 3 + 6x * 3) = 3(5x) + -7 + 2
(-15 + 18x) = 3(5x) + -7 + 2

Remove parenthesis around (5x)
-15 + 18x = 3 * 5x + -7 + 2

Multiply 3 * 5
-15 + 18x = 15x + -7 + 2

Reorder the terms:
-15 + 18x = -7 + 2 + 15x

Combine like terms: -7 + 2 = -5
-15 + 18x = -5 + 15x

Solving
-15 + 18x = -5 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-15 + 18x + -15x = -5 + 15x + -15x

Combine like terms: 18x + -15x = 3x
-15 + 3x = -5 + 15x + -15x

Combine like terms: 15x + -15x = 0
-15 + 3x = -5 + 0
-15 + 3x = -5

Add '15' to each side of the equation.
-15 + 15 + 3x = -5 + 15

Combine like terms: -15 + 15 = 0
0 + 3x = -5 + 15
3x = -5 + 15

Combine like terms: -5 + 15 = 10
3x = 10

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333

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