5x+45(35-4x)=45(3x-26)

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Solution for 5x+45(35-4x)=45(3x-26) equation:


Simplifying
5x + 45(35 + -4x) = 45(3x + -26)
5x + (35 * 45 + -4x * 45) = 45(3x + -26)
5x + (1575 + -180x) = 45(3x + -26)

Reorder the terms:
1575 + 5x + -180x = 45(3x + -26)

Combine like terms: 5x + -180x = -175x
1575 + -175x = 45(3x + -26)

Reorder the terms:
1575 + -175x = 45(-26 + 3x)
1575 + -175x = (-26 * 45 + 3x * 45)
1575 + -175x = (-1170 + 135x)

Solving
1575 + -175x = -1170 + 135x

Solving for variable 'x'.

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

Add '-135x' to each side of the equation.
1575 + -175x + -135x = -1170 + 135x + -135x

Combine like terms: -175x + -135x = -310x
1575 + -310x = -1170 + 135x + -135x

Combine like terms: 135x + -135x = 0
1575 + -310x = -1170 + 0
1575 + -310x = -1170

Add '-1575' to each side of the equation.
1575 + -1575 + -310x = -1170 + -1575

Combine like terms: 1575 + -1575 = 0
0 + -310x = -1170 + -1575
-310x = -1170 + -1575

Combine like terms: -1170 + -1575 = -2745
-310x = -2745

Divide each side by '-310'.
x = 8.85483871

Simplifying
x = 8.85483871

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