525-3(2x-3)+3x=7(3x-21)-4(x+5)+13

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Solution for 525-3(2x-3)+3x=7(3x-21)-4(x+5)+13 equation: 


Simplifying
525 + -3(2x + -3) + 3x = 7(3x + -21) + -4(x + 5) + 13

Reorder the terms:
525 + -3(-3 + 2x) + 3x = 7(3x + -21) + -4(x + 5) + 13
525 + (-3 * -3 + 2x * -3) + 3x = 7(3x + -21) + -4(x + 5) + 13
525 + (9 + -6x) + 3x = 7(3x + -21) + -4(x + 5) + 13

Combine like terms: 525 + 9 = 534
534 + -6x + 3x = 7(3x + -21) + -4(x + 5) + 13

Combine like terms: -6x + 3x = -3x
534 + -3x = 7(3x + -21) + -4(x + 5) + 13

Reorder the terms:
534 + -3x = 7(-21 + 3x) + -4(x + 5) + 13
534 + -3x = (-21 * 7 + 3x * 7) + -4(x + 5) + 13
534 + -3x = (-147 + 21x) + -4(x + 5) + 13

Reorder the terms:
534 + -3x = -147 + 21x + -4(5 + x) + 13
534 + -3x = -147 + 21x + (5 * -4 + x * -4) + 13
534 + -3x = -147 + 21x + (-20 + -4x) + 13

Reorder the terms:
534 + -3x = -147 + -20 + 13 + 21x + -4x

Combine like terms: -147 + -20 = -167
534 + -3x = -167 + 13 + 21x + -4x

Combine like terms: -167 + 13 = -154
534 + -3x = -154 + 21x + -4x

Combine like terms: 21x + -4x = 17x
534 + -3x = -154 + 17x

Solving
534 + -3x = -154 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
534 + -3x + -17x = -154 + 17x + -17x

Combine like terms: -3x + -17x = -20x
534 + -20x = -154 + 17x + -17x

Combine like terms: 17x + -17x = 0
534 + -20x = -154 + 0
534 + -20x = -154

Add '-534' to each side of the equation.
534 + -534 + -20x = -154 + -534

Combine like terms: 534 + -534 = 0
0 + -20x = -154 + -534
-20x = -154 + -534

Combine like terms: -154 + -534 = -688
-20x = -688

Divide each side by '-20'.
x = 34.4

Simplifying
x = 34.4

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