4X+13(90)=10(X+90)

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Solution for 4X+13(90)=10(X+90) equation:


Simplifying
4X + 13(90) = 10(X + 90)

Multiply 13 * 90
4X + 1170 = 10(X + 90)

Reorder the terms:
1170 + 4X = 10(X + 90)

Reorder the terms:
1170 + 4X = 10(90 + X)
1170 + 4X = (90 * 10 + X * 10)
1170 + 4X = (900 + 10X)

Solving
1170 + 4X = 900 + 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.
1170 + 4X + -10X = 900 + 10X + -10X

Combine like terms: 4X + -10X = -6X
1170 + -6X = 900 + 10X + -10X

Combine like terms: 10X + -10X = 0
1170 + -6X = 900 + 0
1170 + -6X = 900

Add '-1170' to each side of the equation.
1170 + -1170 + -6X = 900 + -1170

Combine like terms: 1170 + -1170 = 0
0 + -6X = 900 + -1170
-6X = 900 + -1170

Combine like terms: 900 + -1170 = -270
-6X = -270

Divide each side by '-6'.
X = 45

Simplifying
X = 45

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