3(x-7)-4(x+2)=20

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Solution for 3(x-7)-4(x+2)=20 equation: 


Simplifying
3(x + -7) + -4(x + 2) = 20

Reorder the terms:
3(-7 + x) + -4(x + 2) = 20
(-7 * 3 + x * 3) + -4(x + 2) = 20
(-21 + 3x) + -4(x + 2) = 20

Reorder the terms:
-21 + 3x + -4(2 + x) = 20
-21 + 3x + (2 * -4 + x * -4) = 20
-21 + 3x + (-8 + -4x) = 20

Reorder the terms:
-21 + -8 + 3x + -4x = 20

Combine like terms: -21 + -8 = -29
-29 + 3x + -4x = 20

Combine like terms: 3x + -4x = -1x
-29 + -1x = 20

Solving
-29 + -1x = 20

Solving for variable 'x'.

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

Add '29' to each side of the equation.
-29 + 29 + -1x = 20 + 29

Combine like terms: -29 + 29 = 0
0 + -1x = 20 + 29
-1x = 20 + 29

Combine like terms: 20 + 29 = 49
-1x = 49

Divide each side by '-1'.
x = -49

Simplifying
x = -49

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