7(2+3x)-3(5x-4)=23

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Solution for 7(2+3x)-3(5x-4)=23 equation:


Simplifying
7(2 + 3x) + -3(5x + -4) = 23
(2 * 7 + 3x * 7) + -3(5x + -4) = 23
(14 + 21x) + -3(5x + -4) = 23

Reorder the terms:
14 + 21x + -3(-4 + 5x) = 23
14 + 21x + (-4 * -3 + 5x * -3) = 23
14 + 21x + (12 + -15x) = 23

Reorder the terms:
14 + 12 + 21x + -15x = 23

Combine like terms: 14 + 12 = 26
26 + 21x + -15x = 23

Combine like terms: 21x + -15x = 6x
26 + 6x = 23

Solving
26 + 6x = 23

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + 6x = 23 + -26

Combine like terms: 26 + -26 = 0
0 + 6x = 23 + -26
6x = 23 + -26

Combine like terms: 23 + -26 = -3
6x = -3

Divide each side by '6'.
x = -0.5

Simplifying
x = -0.5

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