7(2x-10)-3=7(x-5)+4

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Solution for 7(2x-10)-3=7(x-5)+4 equation: 


Simplifying
7(2x + -10) + -3 = 7(x + -5) + 4

Reorder the terms:
7(-10 + 2x) + -3 = 7(x + -5) + 4
(-10 * 7 + 2x * 7) + -3 = 7(x + -5) + 4
(-70 + 14x) + -3 = 7(x + -5) + 4

Reorder the terms:
-70 + -3 + 14x = 7(x + -5) + 4

Combine like terms: -70 + -3 = -73
-73 + 14x = 7(x + -5) + 4

Reorder the terms:
-73 + 14x = 7(-5 + x) + 4
-73 + 14x = (-5 * 7 + x * 7) + 4
-73 + 14x = (-35 + 7x) + 4

Reorder the terms:
-73 + 14x = -35 + 4 + 7x

Combine like terms: -35 + 4 = -31
-73 + 14x = -31 + 7x

Solving
-73 + 14x = -31 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-73 + 14x + -7x = -31 + 7x + -7x

Combine like terms: 14x + -7x = 7x
-73 + 7x = -31 + 7x + -7x

Combine like terms: 7x + -7x = 0
-73 + 7x = -31 + 0
-73 + 7x = -31

Add '73' to each side of the equation.
-73 + 73 + 7x = -31 + 73

Combine like terms: -73 + 73 = 0
0 + 7x = -31 + 73
7x = -31 + 73

Combine like terms: -31 + 73 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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