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

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


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

Reorder the terms:
10(-4 + 2x) + -3 = 10(x + -3) + (7)
(-4 * 10 + 2x * 10) + -3 = 10(x + -3) + (7)
(-40 + 20x) + -3 = 10(x + -3) + (7)

Reorder the terms:
-40 + -3 + 20x = 10(x + -3) + (7)

Combine like terms: -40 + -3 = -43
-43 + 20x = 10(x + -3) + (7)

Reorder the terms:
-43 + 20x = 10(-3 + x) + (7)
-43 + 20x = (-3 * 10 + x * 10) + (7)
-43 + 20x = (-30 + 10x) + (7)
-43 + 20x = -30 + 10x + 7

Reorder the terms:
-43 + 20x = -30 + 7 + 10x

Combine like terms: -30 + 7 = -23
-43 + 20x = -23 + 10x

Solving
-43 + 20x = -23 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-43 + 20x + -10x = -23 + 10x + -10x

Combine like terms: 20x + -10x = 10x
-43 + 10x = -23 + 10x + -10x

Combine like terms: 10x + -10x = 0
-43 + 10x = -23 + 0
-43 + 10x = -23

Add '43' to each side of the equation.
-43 + 43 + 10x = -23 + 43

Combine like terms: -43 + 43 = 0
0 + 10x = -23 + 43
10x = -23 + 43

Combine like terms: -23 + 43 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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