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

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


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

Reorder the terms:
6(-1 + 4x) + -3(2x + 5) = 2(5x + -3)
(-1 * 6 + 4x * 6) + -3(2x + 5) = 2(5x + -3)
(-6 + 24x) + -3(2x + 5) = 2(5x + -3)

Reorder the terms:
-6 + 24x + -3(5 + 2x) = 2(5x + -3)
-6 + 24x + (5 * -3 + 2x * -3) = 2(5x + -3)
-6 + 24x + (-15 + -6x) = 2(5x + -3)

Reorder the terms:
-6 + -15 + 24x + -6x = 2(5x + -3)

Combine like terms: -6 + -15 = -21
-21 + 24x + -6x = 2(5x + -3)

Combine like terms: 24x + -6x = 18x
-21 + 18x = 2(5x + -3)

Reorder the terms:
-21 + 18x = 2(-3 + 5x)
-21 + 18x = (-3 * 2 + 5x * 2)
-21 + 18x = (-6 + 10x)

Solving
-21 + 18x = -6 + 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.
-21 + 18x + -10x = -6 + 10x + -10x

Combine like terms: 18x + -10x = 8x
-21 + 8x = -6 + 10x + -10x

Combine like terms: 10x + -10x = 0
-21 + 8x = -6 + 0
-21 + 8x = -6

Add '21' to each side of the equation.
-21 + 21 + 8x = -6 + 21

Combine like terms: -21 + 21 = 0
0 + 8x = -6 + 21
8x = -6 + 21

Combine like terms: -6 + 21 = 15
8x = 15

Divide each side by '8'.
x = 1.875

Simplifying
x = 1.875

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