90=7x+2(3x-7)

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Solution for 90=7x+2(3x-7) equation:


Simplifying
90 = 7x + 2(3x + -7)

Reorder the terms:
90 = 7x + 2(-7 + 3x)
90 = 7x + (-7 * 2 + 3x * 2)
90 = 7x + (-14 + 6x)

Reorder the terms:
90 = -14 + 7x + 6x

Combine like terms: 7x + 6x = 13x
90 = -14 + 13x

Solving
90 = -14 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
90 + -13x = -14 + 13x + -13x

Combine like terms: 13x + -13x = 0
90 + -13x = -14 + 0
90 + -13x = -14

Add '-90' to each side of the equation.
90 + -90 + -13x = -14 + -90

Combine like terms: 90 + -90 = 0
0 + -13x = -14 + -90
-13x = -14 + -90

Combine like terms: -14 + -90 = -104
-13x = -104

Divide each side by '-13'.
x = 8

Simplifying
x = 8

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