3(x+2)-3=7(x+1)-4

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Solution for 3(x+2)-3=7(x+1)-4 equation:


Simplifying
3(x + 2) + -3 = 7(x + 1) + -4

Reorder the terms:
3(2 + x) + -3 = 7(x + 1) + -4
(2 * 3 + x * 3) + -3 = 7(x + 1) + -4
(6 + 3x) + -3 = 7(x + 1) + -4

Reorder the terms:
6 + -3 + 3x = 7(x + 1) + -4

Combine like terms: 6 + -3 = 3
3 + 3x = 7(x + 1) + -4

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

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

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

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

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

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

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

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

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

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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