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

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


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

Reorder the terms:
1 + -3(-4 + x) = 2(3 + 1) + -7
1 + (-4 * -3 + x * -3) = 2(3 + 1) + -7
1 + (12 + -3x) = 2(3 + 1) + -7

Combine like terms: 1 + 12 = 13
13 + -3x = 2(3 + 1) + -7

Combine like terms: 3 + 1 = 4
13 + -3x = 2(4) + -7

Multiply 2 * 4
13 + -3x = 8 + -7

Combine like terms: 8 + -7 = 1
13 + -3x = 1

Solving
13 + -3x = 1

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + -3x = 1 + -13

Combine like terms: 13 + -13 = 0
0 + -3x = 1 + -13
-3x = 1 + -13

Combine like terms: 1 + -13 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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