2(2x+70)+2(9x+63)=420

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Solution for 2(2x+70)+2(9x+63)=420 equation:


Simplifying
2(2x + 70) + 2(9x + 63) = 420

Reorder the terms:
2(70 + 2x) + 2(9x + 63) = 420
(70 * 2 + 2x * 2) + 2(9x + 63) = 420
(140 + 4x) + 2(9x + 63) = 420

Reorder the terms:
140 + 4x + 2(63 + 9x) = 420
140 + 4x + (63 * 2 + 9x * 2) = 420
140 + 4x + (126 + 18x) = 420

Reorder the terms:
140 + 126 + 4x + 18x = 420

Combine like terms: 140 + 126 = 266
266 + 4x + 18x = 420

Combine like terms: 4x + 18x = 22x
266 + 22x = 420

Solving
266 + 22x = 420

Solving for variable 'x'.

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

Add '-266' to each side of the equation.
266 + -266 + 22x = 420 + -266

Combine like terms: 266 + -266 = 0
0 + 22x = 420 + -266
22x = 420 + -266

Combine like terms: 420 + -266 = 154
22x = 154

Divide each side by '22'.
x = 7

Simplifying
x = 7

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