3(4x+5)-4(2x+2)=23

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Solution for 3(4x+5)-4(2x+2)=23 equation:


Simplifying
3(4x + 5) + -4(2x + 2) = 23

Reorder the terms:
3(5 + 4x) + -4(2x + 2) = 23
(5 * 3 + 4x * 3) + -4(2x + 2) = 23
(15 + 12x) + -4(2x + 2) = 23

Reorder the terms:
15 + 12x + -4(2 + 2x) = 23
15 + 12x + (2 * -4 + 2x * -4) = 23
15 + 12x + (-8 + -8x) = 23

Reorder the terms:
15 + -8 + 12x + -8x = 23

Combine like terms: 15 + -8 = 7
7 + 12x + -8x = 23

Combine like terms: 12x + -8x = 4x
7 + 4x = 23

Solving
7 + 4x = 23

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 4x = 23 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = 23 + -7
4x = 23 + -7

Combine like terms: 23 + -7 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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