5[3x-5]-2[x-2]=70

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Solution for 5[3x-5]-2[x-2]=70 equation:


Simplifying
5[3x + -5] + -2[x + -2] = 70

Reorder the terms:
5[-5 + 3x] + -2[x + -2] = 70
[-5 * 5 + 3x * 5] + -2[x + -2] = 70
[-25 + 15x] + -2[x + -2] = 70

Reorder the terms:
-25 + 15x + -2[-2 + x] = 70
-25 + 15x + [-2 * -2 + x * -2] = 70
-25 + 15x + [4 + -2x] = 70

Reorder the terms:
-25 + 4 + 15x + -2x = 70

Combine like terms: -25 + 4 = -21
-21 + 15x + -2x = 70

Combine like terms: 15x + -2x = 13x
-21 + 13x = 70

Solving
-21 + 13x = 70

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 13x = 70 + 21

Combine like terms: -21 + 21 = 0
0 + 13x = 70 + 21
13x = 70 + 21

Combine like terms: 70 + 21 = 91
13x = 91

Divide each side by '13'.
x = 7

Simplifying
x = 7

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