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

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


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

Reorder the terms:
4(-2 + x) + -3(x + -7) = 1
(-2 * 4 + x * 4) + -3(x + -7) = 1
(-8 + 4x) + -3(x + -7) = 1

Reorder the terms:
-8 + 4x + -3(-7 + x) = 1
-8 + 4x + (-7 * -3 + x * -3) = 1
-8 + 4x + (21 + -3x) = 1

Reorder the terms:
-8 + 21 + 4x + -3x = 1

Combine like terms: -8 + 21 = 13
13 + 4x + -3x = 1

Combine like terms: 4x + -3x = 1x
13 + 1x = 1

Solving
13 + 1x = 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 + 1x = 1 + -13

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

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

Divide each side by '1'.
x = -12

Simplifying
x = -12

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