3(x+5)-7(x+1)=4

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Solution for 3(x+5)-7(x+1)=4 equation:


Simplifying
3(x + 5) + -7(x + 1) = 4

Reorder the terms:
3(5 + x) + -7(x + 1) = 4
(5 * 3 + x * 3) + -7(x + 1) = 4
(15 + 3x) + -7(x + 1) = 4

Reorder the terms:
15 + 3x + -7(1 + x) = 4
15 + 3x + (1 * -7 + x * -7) = 4
15 + 3x + (-7 + -7x) = 4

Reorder the terms:
15 + -7 + 3x + -7x = 4

Combine like terms: 15 + -7 = 8
8 + 3x + -7x = 4

Combine like terms: 3x + -7x = -4x
8 + -4x = 4

Solving
8 + -4x = 4

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -4x = 4 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = 4 + -8
-4x = 4 + -8

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

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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