10(x+4)-7(x-3)=100

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Solution for 10(x+4)-7(x-3)=100 equation: 


Simplifying
10(x + 4) + -7(x + -3) = 100

Reorder the terms:
10(4 + x) + -7(x + -3) = 100
(4 * 10 + x * 10) + -7(x + -3) = 100
(40 + 10x) + -7(x + -3) = 100

Reorder the terms:
40 + 10x + -7(-3 + x) = 100
40 + 10x + (-3 * -7 + x * -7) = 100
40 + 10x + (21 + -7x) = 100

Reorder the terms:
40 + 21 + 10x + -7x = 100

Combine like terms: 40 + 21 = 61
61 + 10x + -7x = 100

Combine like terms: 10x + -7x = 3x
61 + 3x = 100

Solving
61 + 3x = 100

Solving for variable 'x'.

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

Add '-61' to each side of the equation.
61 + -61 + 3x = 100 + -61

Combine like terms: 61 + -61 = 0
0 + 3x = 100 + -61
3x = 100 + -61

Combine like terms: 100 + -61 = 39
3x = 39

Divide each side by '3'.
x = 13

Simplifying
x = 13

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