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

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


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

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

Reorder the terms:
-3 + 4 + 3x = 7x + 9

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

Reorder the terms:
1 + 3x = 9 + 7x

Solving
1 + 3x = 9 + 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.
1 + 3x + -7x = 9 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
1 + -4x = 9 + 0
1 + -4x = 9

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

Combine like terms: 1 + -1 = 0
0 + -4x = 9 + -1
-4x = 9 + -1

Combine like terms: 9 + -1 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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