1+4(x-5)=10-3(x-7)

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Solution for 1+4(x-5)=10-3(x-7) equation: 


Simplifying
1 + 4(x + -5) = 10 + -3(x + -7)

Reorder the terms:
1 + 4(-5 + x) = 10 + -3(x + -7)
1 + (-5 * 4 + x * 4) = 10 + -3(x + -7)
1 + (-20 + 4x) = 10 + -3(x + -7)

Combine like terms: 1 + -20 = -19
-19 + 4x = 10 + -3(x + -7)

Reorder the terms:
-19 + 4x = 10 + -3(-7 + x)
-19 + 4x = 10 + (-7 * -3 + x * -3)
-19 + 4x = 10 + (21 + -3x)

Combine like terms: 10 + 21 = 31
-19 + 4x = 31 + -3x

Solving
-19 + 4x = 31 + -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.
-19 + 4x + 3x = 31 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-19 + 7x = 31 + -3x + 3x

Combine like terms: -3x + 3x = 0
-19 + 7x = 31 + 0
-19 + 7x = 31

Add '19' to each side of the equation.
-19 + 19 + 7x = 31 + 19

Combine like terms: -19 + 19 = 0
0 + 7x = 31 + 19
7x = 31 + 19

Combine like terms: 31 + 19 = 50
7x = 50

Divide each side by '7'.
x = 7.142857143

Simplifying
x = 7.142857143

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