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

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


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

Reorder the terms:
4(-3 + x) + 5 = 3x + 1
(-3 * 4 + x * 4) + 5 = 3x + 1
(-12 + 4x) + 5 = 3x + 1

Reorder the terms:
-12 + 5 + 4x = 3x + 1

Combine like terms: -12 + 5 = -7
-7 + 4x = 3x + 1

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

Solving
-7 + 4x = 1 + 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.
-7 + 4x + -3x = 1 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-7 + 1x = 1 + 0
-7 + 1x = 1

Add '7' to each side of the equation.
-7 + 7 + 1x = 1 + 7

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

Combine like terms: 1 + 7 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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