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

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


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

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

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

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

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

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

Combine like terms: -3 + 3 = 0
-4 + 7x = 0 + 3x
-4 + 7x = 3x

Solving
-4 + 7x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-4 + 7x + -3x = 3x + -3x

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

Combine like terms: 3x + -3x = 0
-4 + 4x = 0

Add '4' to each side of the equation.
-4 + 4 + 4x = 0 + 4

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

Combine like terms: 0 + 4 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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