-4(3x+5)+10(x-3)-7=0

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Solution for -4(3x+5)+10(x-3)-7=0 equation:


Simplifying
-4(3x + 5) + 10(x + -3) + -7 = 0

Reorder the terms:
-4(5 + 3x) + 10(x + -3) + -7 = 0
(5 * -4 + 3x * -4) + 10(x + -3) + -7 = 0
(-20 + -12x) + 10(x + -3) + -7 = 0

Reorder the terms:
-20 + -12x + 10(-3 + x) + -7 = 0
-20 + -12x + (-3 * 10 + x * 10) + -7 = 0
-20 + -12x + (-30 + 10x) + -7 = 0

Reorder the terms:
-20 + -30 + -7 + -12x + 10x = 0

Combine like terms: -20 + -30 = -50
-50 + -7 + -12x + 10x = 0

Combine like terms: -50 + -7 = -57
-57 + -12x + 10x = 0

Combine like terms: -12x + 10x = -2x
-57 + -2x = 0

Solving
-57 + -2x = 0

Solving for variable 'x'.

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

Add '57' to each side of the equation.
-57 + 57 + -2x = 0 + 57

Combine like terms: -57 + 57 = 0
0 + -2x = 0 + 57
-2x = 0 + 57

Combine like terms: 0 + 57 = 57
-2x = 57

Divide each side by '-2'.
x = -28.5

Simplifying
x = -28.5

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