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

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


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

Reorder the terms:
4(-3 + x) + -5 = 3(x + 1) + -7
(-3 * 4 + x * 4) + -5 = 3(x + 1) + -7
(-12 + 4x) + -5 = 3(x + 1) + -7

Reorder the terms:
-12 + -5 + 4x = 3(x + 1) + -7

Combine like terms: -12 + -5 = -17
-17 + 4x = 3(x + 1) + -7

Reorder the terms:
-17 + 4x = 3(1 + x) + -7
-17 + 4x = (1 * 3 + x * 3) + -7
-17 + 4x = (3 + 3x) + -7

Reorder the terms:
-17 + 4x = 3 + -7 + 3x

Combine like terms: 3 + -7 = -4
-17 + 4x = -4 + 3x

Solving
-17 + 4x = -4 + 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.
-17 + 4x + -3x = -4 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-17 + 1x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-17 + 1x = -4 + 0
-17 + 1x = -4

Add '17' to each side of the equation.
-17 + 17 + 1x = -4 + 17

Combine like terms: -17 + 17 = 0
0 + 1x = -4 + 17
1x = -4 + 17

Combine like terms: -4 + 17 = 13
1x = 13

Divide each side by '1'.
x = 13

Simplifying
x = 13

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