7(3x-7)+4=2(5x+3)+20

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Solution for 7(3x-7)+4=2(5x+3)+20 equation:


Simplifying
7(3x + -7) + 4 = 2(5x + 3) + 20

Reorder the terms:
7(-7 + 3x) + 4 = 2(5x + 3) + 20
(-7 * 7 + 3x * 7) + 4 = 2(5x + 3) + 20
(-49 + 21x) + 4 = 2(5x + 3) + 20

Reorder the terms:
-49 + 4 + 21x = 2(5x + 3) + 20

Combine like terms: -49 + 4 = -45
-45 + 21x = 2(5x + 3) + 20

Reorder the terms:
-45 + 21x = 2(3 + 5x) + 20
-45 + 21x = (3 * 2 + 5x * 2) + 20
-45 + 21x = (6 + 10x) + 20

Reorder the terms:
-45 + 21x = 6 + 20 + 10x

Combine like terms: 6 + 20 = 26
-45 + 21x = 26 + 10x

Solving
-45 + 21x = 26 + 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.
-45 + 21x + -10x = 26 + 10x + -10x

Combine like terms: 21x + -10x = 11x
-45 + 11x = 26 + 10x + -10x

Combine like terms: 10x + -10x = 0
-45 + 11x = 26 + 0
-45 + 11x = 26

Add '45' to each side of the equation.
-45 + 45 + 11x = 26 + 45

Combine like terms: -45 + 45 = 0
0 + 11x = 26 + 45
11x = 26 + 45

Combine like terms: 26 + 45 = 71
11x = 71

Divide each side by '11'.
x = 6.454545455

Simplifying
x = 6.454545455

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