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

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


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

Reorder the terms:
7(-4 + 3x) = 4(2x + 3) + -1
(-4 * 7 + 3x * 7) = 4(2x + 3) + -1
(-28 + 21x) = 4(2x + 3) + -1

Reorder the terms:
-28 + 21x = 4(3 + 2x) + -1
-28 + 21x = (3 * 4 + 2x * 4) + -1
-28 + 21x = (12 + 8x) + -1

Reorder the terms:
-28 + 21x = 12 + -1 + 8x

Combine like terms: 12 + -1 = 11
-28 + 21x = 11 + 8x

Solving
-28 + 21x = 11 + 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.
-28 + 21x + -8x = 11 + 8x + -8x

Combine like terms: 21x + -8x = 13x
-28 + 13x = 11 + 8x + -8x

Combine like terms: 8x + -8x = 0
-28 + 13x = 11 + 0
-28 + 13x = 11

Add '28' to each side of the equation.
-28 + 28 + 13x = 11 + 28

Combine like terms: -28 + 28 = 0
0 + 13x = 11 + 28
13x = 11 + 28

Combine like terms: 11 + 28 = 39
13x = 39

Divide each side by '13'.
x = 3

Simplifying
x = 3

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