5(2x-7)-2=5(x-3)+(-8)

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Solution for 5(2x-7)-2=5(x-3)+(-8) equation:


Simplifying
5(2x + -7) + -2 = 5(x + -3) + (-8)

Reorder the terms:
5(-7 + 2x) + -2 = 5(x + -3) + (-8)
(-7 * 5 + 2x * 5) + -2 = 5(x + -3) + (-8)
(-35 + 10x) + -2 = 5(x + -3) + (-8)

Reorder the terms:
-35 + -2 + 10x = 5(x + -3) + (-8)

Combine like terms: -35 + -2 = -37
-37 + 10x = 5(x + -3) + (-8)

Reorder the terms:
-37 + 10x = 5(-3 + x) + (-8)
-37 + 10x = (-3 * 5 + x * 5) + (-8)
-37 + 10x = (-15 + 5x) + (-8)
-37 + 10x = -15 + 5x + -8

Reorder the terms:
-37 + 10x = -15 + -8 + 5x

Combine like terms: -15 + -8 = -23
-37 + 10x = -23 + 5x

Solving
-37 + 10x = -23 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-37 + 10x + -5x = -23 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-37 + 5x = -23 + 5x + -5x

Combine like terms: 5x + -5x = 0
-37 + 5x = -23 + 0
-37 + 5x = -23

Add '37' to each side of the equation.
-37 + 37 + 5x = -23 + 37

Combine like terms: -37 + 37 = 0
0 + 5x = -23 + 37
5x = -23 + 37

Combine like terms: -23 + 37 = 14
5x = 14

Divide each side by '5'.
x = 2.8

Simplifying
x = 2.8

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