3(4x+3)-17=7x-3

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Solution for 3(4x+3)-17=7x-3 equation:


Simplifying
3(4x + 3) + -17 = 7x + -3

Reorder the terms:
3(3 + 4x) + -17 = 7x + -3
(3 * 3 + 4x * 3) + -17 = 7x + -3
(9 + 12x) + -17 = 7x + -3

Reorder the terms:
9 + -17 + 12x = 7x + -3

Combine like terms: 9 + -17 = -8
-8 + 12x = 7x + -3

Reorder the terms:
-8 + 12x = -3 + 7x

Solving
-8 + 12x = -3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-8 + 12x + -7x = -3 + 7x + -7x

Combine like terms: 12x + -7x = 5x
-8 + 5x = -3 + 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + 5x = -3 + 0
-8 + 5x = -3

Add '8' to each side of the equation.
-8 + 8 + 5x = -3 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = -3 + 8
5x = -3 + 8

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

Divide each side by '5'.
x = 1

Simplifying
x = 1

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