4(3x+4)-23=7x-2

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Solution for 4(3x+4)-23=7x-2 equation:


Simplifying
4(3x + 4) + -23 = 7x + -2

Reorder the terms:
4(4 + 3x) + -23 = 7x + -2
(4 * 4 + 3x * 4) + -23 = 7x + -2
(16 + 12x) + -23 = 7x + -2

Reorder the terms:
16 + -23 + 12x = 7x + -2

Combine like terms: 16 + -23 = -7
-7 + 12x = 7x + -2

Reorder the terms:
-7 + 12x = -2 + 7x

Solving
-7 + 12x = -2 + 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.
-7 + 12x + -7x = -2 + 7x + -7x

Combine like terms: 12x + -7x = 5x
-7 + 5x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
-7 + 5x = -2 + 0
-7 + 5x = -2

Add '7' to each side of the equation.
-7 + 7 + 5x = -2 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = -2 + 7
5x = -2 + 7

Combine like terms: -2 + 7 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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