3(x-7)-23=4(x-8)+22

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Solution for 3(x-7)-23=4(x-8)+22 equation:


Simplifying
3(x + -7) + -23 = 4(x + -8) + 22

Reorder the terms:
3(-7 + x) + -23 = 4(x + -8) + 22
(-7 * 3 + x * 3) + -23 = 4(x + -8) + 22
(-21 + 3x) + -23 = 4(x + -8) + 22

Reorder the terms:
-21 + -23 + 3x = 4(x + -8) + 22

Combine like terms: -21 + -23 = -44
-44 + 3x = 4(x + -8) + 22

Reorder the terms:
-44 + 3x = 4(-8 + x) + 22
-44 + 3x = (-8 * 4 + x * 4) + 22
-44 + 3x = (-32 + 4x) + 22

Reorder the terms:
-44 + 3x = -32 + 22 + 4x

Combine like terms: -32 + 22 = -10
-44 + 3x = -10 + 4x

Solving
-44 + 3x = -10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-44 + 3x + -4x = -10 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-44 + -1x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-44 + -1x = -10 + 0
-44 + -1x = -10

Add '44' to each side of the equation.
-44 + 44 + -1x = -10 + 44

Combine like terms: -44 + 44 = 0
0 + -1x = -10 + 44
-1x = -10 + 44

Combine like terms: -10 + 44 = 34
-1x = 34

Divide each side by '-1'.
x = -34

Simplifying
x = -34

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