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

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


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

Reorder the terms:
3 + -4(3 + x) = 7x + -20
3 + (3 * -4 + x * -4) = 7x + -20
3 + (-12 + -4x) = 7x + -20

Combine like terms: 3 + -12 = -9
-9 + -4x = 7x + -20

Reorder the terms:
-9 + -4x = -20 + 7x

Solving
-9 + -4x = -20 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-9 + -4x + -7x = -20 + 7x + -7x

Combine like terms: -4x + -7x = -11x
-9 + -11x = -20 + 7x + -7x

Combine like terms: 7x + -7x = 0
-9 + -11x = -20 + 0
-9 + -11x = -20

Add '9' to each side of the equation.
-9 + 9 + -11x = -20 + 9

Combine like terms: -9 + 9 = 0
0 + -11x = -20 + 9
-11x = -20 + 9

Combine like terms: -20 + 9 = -11
-11x = -11

Divide each side by '-11'.
x = 1

Simplifying
x = 1

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