4(2x+3)=2+5(15-x)

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Solution for 4(2x+3)=2+5(15-x) equation:


Simplifying
4(2x + 3) = 2 + 5(15 + -1x)

Reorder the terms:
4(3 + 2x) = 2 + 5(15 + -1x)
(3 * 4 + 2x * 4) = 2 + 5(15 + -1x)
(12 + 8x) = 2 + 5(15 + -1x)
12 + 8x = 2 + (15 * 5 + -1x * 5)
12 + 8x = 2 + (75 + -5x)

Combine like terms: 2 + 75 = 77
12 + 8x = 77 + -5x

Solving
12 + 8x = 77 + -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.
12 + 8x + 5x = 77 + -5x + 5x

Combine like terms: 8x + 5x = 13x
12 + 13x = 77 + -5x + 5x

Combine like terms: -5x + 5x = 0
12 + 13x = 77 + 0
12 + 13x = 77

Add '-12' to each side of the equation.
12 + -12 + 13x = 77 + -12

Combine like terms: 12 + -12 = 0
0 + 13x = 77 + -12
13x = 77 + -12

Combine like terms: 77 + -12 = 65
13x = 65

Divide each side by '13'.
x = 5

Simplifying
x = 5

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