-7+10(x-5)-3x=4x+(18-x)

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Solution for -7+10(x-5)-3x=4x+(18-x) equation:


Simplifying
-7 + 10(x + -5) + -3x = 4x + (18 + -1x)

Reorder the terms:
-7 + 10(-5 + x) + -3x = 4x + (18 + -1x)
-7 + (-5 * 10 + x * 10) + -3x = 4x + (18 + -1x)
-7 + (-50 + 10x) + -3x = 4x + (18 + -1x)

Combine like terms: -7 + -50 = -57
-57 + 10x + -3x = 4x + (18 + -1x)

Combine like terms: 10x + -3x = 7x
-57 + 7x = 4x + (18 + -1x)

Remove parenthesis around (18 + -1x)
-57 + 7x = 4x + 18 + -1x

Reorder the terms:
-57 + 7x = 18 + 4x + -1x

Combine like terms: 4x + -1x = 3x
-57 + 7x = 18 + 3x

Solving
-57 + 7x = 18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-57 + 7x + -3x = 18 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-57 + 4x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-57 + 4x = 18 + 0
-57 + 4x = 18

Add '57' to each side of the equation.
-57 + 57 + 4x = 18 + 57

Combine like terms: -57 + 57 = 0
0 + 4x = 18 + 57
4x = 18 + 57

Combine like terms: 18 + 57 = 75
4x = 75

Divide each side by '4'.
x = 18.75

Simplifying
x = 18.75

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