3(6x-7)=-2(4x-3)-1

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Solution for 3(6x-7)=-2(4x-3)-1 equation:


Simplifying
3(6x + -7) = -2(4x + -3) + -1

Reorder the terms:
3(-7 + 6x) = -2(4x + -3) + -1
(-7 * 3 + 6x * 3) = -2(4x + -3) + -1
(-21 + 18x) = -2(4x + -3) + -1

Reorder the terms:
-21 + 18x = -2(-3 + 4x) + -1
-21 + 18x = (-3 * -2 + 4x * -2) + -1
-21 + 18x = (6 + -8x) + -1

Reorder the terms:
-21 + 18x = 6 + -1 + -8x

Combine like terms: 6 + -1 = 5
-21 + 18x = 5 + -8x

Solving
-21 + 18x = 5 + -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.
-21 + 18x + 8x = 5 + -8x + 8x

Combine like terms: 18x + 8x = 26x
-21 + 26x = 5 + -8x + 8x

Combine like terms: -8x + 8x = 0
-21 + 26x = 5 + 0
-21 + 26x = 5

Add '21' to each side of the equation.
-21 + 21 + 26x = 5 + 21

Combine like terms: -21 + 21 = 0
0 + 26x = 5 + 21
26x = 5 + 21

Combine like terms: 5 + 21 = 26
26x = 26

Divide each side by '26'.
x = 1

Simplifying
x = 1

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