5(3x-2x+1)-4(3x-2)=6x+2(3x-2x-3)

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Solution for 5(3x-2x+1)-4(3x-2)=6x+2(3x-2x-3) equation:


Simplifying
5(3x + -2x + 1) + -4(3x + -2) = 6x + 2(3x + -2x + -3)

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

Combine like terms: 3x + -2x = 1x
5(1 + 1x) + -4(3x + -2) = 6x + 2(3x + -2x + -3)
(1 * 5 + 1x * 5) + -4(3x + -2) = 6x + 2(3x + -2x + -3)
(5 + 5x) + -4(3x + -2) = 6x + 2(3x + -2x + -3)

Reorder the terms:
5 + 5x + -4(-2 + 3x) = 6x + 2(3x + -2x + -3)
5 + 5x + (-2 * -4 + 3x * -4) = 6x + 2(3x + -2x + -3)
5 + 5x + (8 + -12x) = 6x + 2(3x + -2x + -3)

Reorder the terms:
5 + 8 + 5x + -12x = 6x + 2(3x + -2x + -3)

Combine like terms: 5 + 8 = 13
13 + 5x + -12x = 6x + 2(3x + -2x + -3)

Combine like terms: 5x + -12x = -7x
13 + -7x = 6x + 2(3x + -2x + -3)

Reorder the terms:
13 + -7x = 6x + 2(-3 + 3x + -2x)

Combine like terms: 3x + -2x = 1x
13 + -7x = 6x + 2(-3 + 1x)
13 + -7x = 6x + (-3 * 2 + 1x * 2)
13 + -7x = 6x + (-6 + 2x)

Reorder the terms:
13 + -7x = -6 + 6x + 2x

Combine like terms: 6x + 2x = 8x
13 + -7x = -6 + 8x

Solving
13 + -7x = -6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
13 + -7x + -8x = -6 + 8x + -8x

Combine like terms: -7x + -8x = -15x
13 + -15x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
13 + -15x = -6 + 0
13 + -15x = -6

Add '-13' to each side of the equation.
13 + -13 + -15x = -6 + -13

Combine like terms: 13 + -13 = 0
0 + -15x = -6 + -13
-15x = -6 + -13

Combine like terms: -6 + -13 = -19
-15x = -19

Divide each side by '-15'.
x = 1.266666667

Simplifying
x = 1.266666667

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