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

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


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

Reorder the terms:
3(-3 + x) + -4(x + -7) = 23
(-3 * 3 + x * 3) + -4(x + -7) = 23
(-9 + 3x) + -4(x + -7) = 23

Reorder the terms:
-9 + 3x + -4(-7 + x) = 23
-9 + 3x + (-7 * -4 + x * -4) = 23
-9 + 3x + (28 + -4x) = 23

Reorder the terms:
-9 + 28 + 3x + -4x = 23

Combine like terms: -9 + 28 = 19
19 + 3x + -4x = 23

Combine like terms: 3x + -4x = -1x
19 + -1x = 23

Solving
19 + -1x = 23

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + -1x = 23 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = 23 + -19
-1x = 23 + -19

Combine like terms: 23 + -19 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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