4(25.5+x)+1=1.5(x+4*25.5-9)

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Solution for 4(25.5+x)+1=1.5(x+4*25.5-9) equation:


Simplifying
4(25.5 + x) + 1 = 1.5(x + 4 * 25.5 + -9)
(25.5 * 4 + x * 4) + 1 = 1.5(x + 4 * 25.5 + -9)
(102 + 4x) + 1 = 1.5(x + 4 * 25.5 + -9)

Reorder the terms:
102 + 1 + 4x = 1.5(x + 4 * 25.5 + -9)

Combine like terms: 102 + 1 = 103
103 + 4x = 1.5(x + 4 * 25.5 + -9)

Multiply 4 * 25.5
103 + 4x = 1.5(x + 102 + -9)

Reorder the terms:
103 + 4x = 1.5(102 + -9 + x)

Combine like terms: 102 + -9 = 93
103 + 4x = 1.5(93 + x)
103 + 4x = (93 * 1.5 + x * 1.5)
103 + 4x = (139.5 + 1.5x)

Solving
103 + 4x = 139.5 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
103 + 4x + -1.5x = 139.5 + 1.5x + -1.5x

Combine like terms: 4x + -1.5x = 2.5x
103 + 2.5x = 139.5 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
103 + 2.5x = 139.5 + 0.0
103 + 2.5x = 139.5

Add '-103' to each side of the equation.
103 + -103 + 2.5x = 139.5 + -103

Combine like terms: 103 + -103 = 0
0 + 2.5x = 139.5 + -103
2.5x = 139.5 + -103

Combine like terms: 139.5 + -103 = 36.5
2.5x = 36.5

Divide each side by '2.5'.
x = 14.6

Simplifying
x = 14.6

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