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

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


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

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

Reorder the terms:
-6 + -5 + 8x = 3x + 4

Combine like terms: -6 + -5 = -11
-11 + 8x = 3x + 4

Reorder the terms:
-11 + 8x = 4 + 3x

Solving
-11 + 8x = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-11 + 8x + -3x = 4 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-11 + 5x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-11 + 5x = 4 + 0
-11 + 5x = 4

Add '11' to each side of the equation.
-11 + 11 + 5x = 4 + 11

Combine like terms: -11 + 11 = 0
0 + 5x = 4 + 11
5x = 4 + 11

Combine like terms: 4 + 11 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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