X+5(2x+3x)-10=126-3(x-1)

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Solution for X+5(2x+3x)-10=126-3(x-1) equation:


Simplifying
X + 5(2x + 3x) + -10 = 126 + -3(x + -1)

Combine like terms: 2x + 3x = 5x
X + 5(5x) + -10 = 126 + -3(x + -1)

Remove parenthesis around (5x)
X + 5 * 5x + -10 = 126 + -3(x + -1)

Multiply 5 * 5
X + 25x + -10 = 126 + -3(x + -1)

Reorder the terms:
-10 + X + 25x = 126 + -3(x + -1)

Reorder the terms:
-10 + X + 25x = 126 + -3(-1 + x)
-10 + X + 25x = 126 + (-1 * -3 + x * -3)
-10 + X + 25x = 126 + (3 + -3x)

Combine like terms: 126 + 3 = 129
-10 + X + 25x = 129 + -3x

Solving
-10 + X + 25x = 129 + -3x

Solving for variable 'X'.

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

Add '10' to each side of the equation.
-10 + X + 10 + 25x = 129 + 10 + -3x

Reorder the terms:
-10 + 10 + X + 25x = 129 + 10 + -3x

Combine like terms: -10 + 10 = 0
0 + X + 25x = 129 + 10 + -3x
X + 25x = 129 + 10 + -3x

Combine like terms: 129 + 10 = 139
X + 25x = 139 + -3x

Add '-25x' to each side of the equation.
X + 25x + -25x = 139 + -3x + -25x

Combine like terms: 25x + -25x = 0
X + 0 = 139 + -3x + -25x
X = 139 + -3x + -25x

Combine like terms: -3x + -25x = -28x
X = 139 + -28x

Simplifying
X = 139 + -28x

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