7(x-7)+34=2(x-5)

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Solution for 7(x-7)+34=2(x-5) equation:


Simplifying
7(x + -7) + 34 = 2(x + -5)

Reorder the terms:
7(-7 + x) + 34 = 2(x + -5)
(-7 * 7 + x * 7) + 34 = 2(x + -5)
(-49 + 7x) + 34 = 2(x + -5)

Reorder the terms:
-49 + 34 + 7x = 2(x + -5)

Combine like terms: -49 + 34 = -15
-15 + 7x = 2(x + -5)

Reorder the terms:
-15 + 7x = 2(-5 + x)
-15 + 7x = (-5 * 2 + x * 2)
-15 + 7x = (-10 + 2x)

Solving
-15 + 7x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-15 + 7x + -2x = -10 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-15 + 5x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 5x = -10 + 0
-15 + 5x = -10

Add '15' to each side of the equation.
-15 + 15 + 5x = -10 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = -10 + 15
5x = -10 + 15

Combine like terms: -10 + 15 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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