3+4(x-1)=3-9(x-7)

Solution for 3+4(x-1)=3-9(x-7) equation:

Simplifying
3 + 4(x + -1) = 3 + -9(x + -7)

Reorder the terms:
3 + 4(-1 + x) = 3 + -9(x + -7)
3 + (-1 * 4 + x * 4) = 3 + -9(x + -7)
3 + (-4 + 4x) = 3 + -9(x + -7)

Combine like terms: 3 + -4 = -1
-1 + 4x = 3 + -9(x + -7)

Reorder the terms:
-1 + 4x = 3 + -9(-7 + x)
-1 + 4x = 3 + (-7 * -9 + x * -9)
-1 + 4x = 3 + (63 + -9x)

Combine like terms: 3 + 63 = 66
-1 + 4x = 66 + -9x

Solving
-1 + 4x = 66 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-1 + 4x + 9x = 66 + -9x + 9x

Combine like terms: 4x + 9x = 13x
-1 + 13x = 66 + -9x + 9x

Combine like terms: -9x + 9x = 0
-1 + 13x = 66 + 0
-1 + 13x = 66

Add '1' to each side of the equation.
-1 + 1 + 13x = 66 + 1

Combine like terms: -1 + 1 = 0
0 + 13x = 66 + 1
13x = 66 + 1

Combine like terms: 66 + 1 = 67
13x = 67

Divide each side by '13'.
x = 5.153846154

Simplifying
x = 5.153846154